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Finding the Fourth Proportional to 137,351.20, 206,156.40 and 84,863.20

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Solution

The fourth proportional to 137,351.20, 206,156.40 and 84,863.20 is: 127,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,351.20 : 206,156.40 = 84,863.20 : x
  2. Step 2: Convert to fraction form
    137,351.20/206,156.40 = 84,863.20/x
  3. Step 3: Cross multiply
    137,351.20x = 206,156.40 × 84,863.20
  4. Step 4: Simplify right side
    137,351.20x = 17,495,091,804.48
  5. Step 5: Solve for x
    x = 17,495,091,804.48/137,351.20
  6. Step 6: Final answer
    x = 127,374.87

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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.