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Finding the Fourth Proportional to 71,646.90, 107,585.10 and 56,977.80

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Solution

The fourth proportional to 71,646.90, 107,585.10 and 56,977.80 is: 85,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646.90 : 107,585.10 = 56,977.80 : x
  2. Step 2: Convert to fraction form
    71,646.90/107,585.10 = 56,977.80/x
  3. Step 3: Cross multiply
    71,646.90x = 107,585.10 × 56,977.80
  4. Step 4: Simplify right side
    71,646.90x = 6,129,962,310.78
  5. Step 5: Solve for x
    x = 6,129,962,310.78/71,646.90
  6. Step 6: Final answer
    x = 85,557.96

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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.