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Finding the Fourth Proportional to 103,414.60, 155,121.90 and 92,139.40

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Solution

The fourth proportional to 103,414.60, 155,121.90 and 92,139.40 is: 138,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414.60 : 155,121.90 = 92,139.40 : x
  2. Step 2: Convert to fraction form
    103,414.60/155,121.90 = 92,139.40/x
  3. Step 3: Cross multiply
    103,414.60x = 155,121.90 × 92,139.40
  4. Step 4: Simplify right side
    103,414.60x = 14,292,838,792.86
  5. Step 5: Solve for x
    x = 14,292,838,792.86/103,414.60
  6. Step 6: Final answer
    x = 138,209.10

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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.