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Finding the Fourth Proportional to 57,904.60, 86,711.10 and 55,280.20

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Solution

The fourth proportional to 57,904.60, 86,711.10 and 55,280.20 is: 82,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,904.60 : 86,711.10 = 55,280.20 : x
  2. Step 2: Convert to fraction form
    57,904.60/86,711.10 = 55,280.20/x
  3. Step 3: Cross multiply
    57,904.60x = 86,711.10 × 55,280.20
  4. Step 4: Simplify right side
    57,904.60x = 4,793,406,950.22
  5. Step 5: Solve for x
    x = 4,793,406,950.22/57,904.60
  6. Step 6: Final answer
    x = 82,781.11

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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.