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Finding the Fourth Proportional to 71,435.70, 107,190 and 29,348.10

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Solution

The fourth proportional to 71,435.70, 107,190 and 29,348.10 is: 44,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,435.70 : 107,190 = 29,348.10 : x
  2. Step 2: Convert to fraction form
    71,435.70/107,190 = 29,348.10/x
  3. Step 3: Cross multiply
    71,435.70x = 107,190 × 29,348.10
  4. Step 4: Simplify right side
    71,435.70x = 3,145,822,839
  5. Step 5: Solve for x
    x = 3,145,822,839/71,435.70
  6. Step 6: Final answer
    x = 44,037.12

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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.