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Finding the Fourth Proportional to 137,732,921.20, 206,599,381.80 and 137,732,921.20

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Solution

The fourth proportional to 137,732,921.20, 206,599,381.80 and 137,732,921.20 is: 206,599,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,732,921.20 : 206,599,381.80 = 137,732,921.20 : x
  2. Step 2: Convert to fraction form
    137,732,921.20/206,599,381.80 = 137,732,921.20/x
  3. Step 3: Cross multiply
    137,732,921.20x = 206,599,381.80 × 137,732,921.20
  4. Step 4: Simplify right side
    137,732,921.20x = 28,455,536,373,428,112
  5. Step 5: Solve for x
    x = 28,455,536,373,428,112/137,732,921.20
  6. Step 6: Final answer
    x = 206,599,381.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.