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Finding the Fourth Proportional to 70,414.29, 97,155.90 and 40,189.95

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Solution

The fourth proportional to 70,414.29, 97,155.90 and 40,189.95 is: 55,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,414.29 : 97,155.90 = 40,189.95 : x
  2. Step 2: Convert to fraction form
    70,414.29/97,155.90 = 40,189.95/x
  3. Step 3: Cross multiply
    70,414.29x = 97,155.90 × 40,189.95
  4. Step 4: Simplify right side
    70,414.29x = 3,904,690,763.21
  5. Step 5: Solve for x
    x = 3,904,690,763.21/70,414.29
  6. Step 6: Final answer
    x = 55,453.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.