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Finding the Fourth Proportional to 137,615.20, 192,428 and 137,615.20

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Solution

The fourth proportional to 137,615.20, 192,428 and 137,615.20 is: 192,428

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,615.20 : 192,428 = 137,615.20 : x
  2. Step 2: Convert to fraction form
    137,615.20/192,428 = 137,615.20/x
  3. Step 3: Cross multiply
    137,615.20x = 192,428 × 137,615.20
  4. Step 4: Simplify right side
    137,615.20x = 26,481,017,705.60
  5. Step 5: Solve for x
    x = 26,481,017,705.60/137,615.20
  6. Step 6: Final answer
    x = 192,428

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.