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Finding the Fourth Proportional to 71,641.60, 107,462.40 and 61,800.10

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Solution

The fourth proportional to 71,641.60, 107,462.40 and 61,800.10 is: 92,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,641.60 : 107,462.40 = 61,800.10 : x
  2. Step 2: Convert to fraction form
    71,641.60/107,462.40 = 61,800.10/x
  3. Step 3: Cross multiply
    71,641.60x = 107,462.40 × 61,800.10
  4. Step 4: Simplify right side
    71,641.60x = 6,641,187,066.24
  5. Step 5: Solve for x
    x = 6,641,187,066.24/71,641.60
  6. Step 6: Final answer
    x = 92,700.15

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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.