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Finding the Fourth Proportional to 122,402.10, 183,711.15 and 72,419.70

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Solution

The fourth proportional to 122,402.10, 183,711.15 and 72,419.70 is: 108,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,402.10 : 183,711.15 = 72,419.70 : x
  2. Step 2: Convert to fraction form
    122,402.10/183,711.15 = 72,419.70/x
  3. Step 3: Cross multiply
    122,402.10x = 183,711.15 × 72,419.70
  4. Step 4: Simplify right side
    122,402.10x = 13,304,306,369.66
  5. Step 5: Solve for x
    x = 13,304,306,369.66/122,402.10
  6. Step 6: Final answer
    x = 108,693.45

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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.