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Finding the Fourth Proportional to 103,414, 155,121 and 29,542

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Solution

The fourth proportional to 103,414, 155,121 and 29,542 is: 44,313

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414 : 155,121 = 29,542 : x
  2. Step 2: Convert to fraction form
    103,414/155,121 = 29,542/x
  3. Step 3: Cross multiply
    103,414x = 155,121 × 29,542
  4. Step 4: Simplify right side
    103,414x = 4,582,584,582
  5. Step 5: Solve for x
    x = 4,582,584,582/103,414
  6. Step 6: Final answer
    x = 44,313

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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.