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Finding the Fourth Proportional to 57,423.71, 86,135.60 and 21,876.76

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Solution

The fourth proportional to 57,423.71, 86,135.60 and 21,876.76 is: 32,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,423.71 : 86,135.60 = 21,876.76 : x
  2. Step 2: Convert to fraction form
    57,423.71/86,135.60 = 21,876.76/x
  3. Step 3: Cross multiply
    57,423.71x = 86,135.60 × 21,876.76
  4. Step 4: Simplify right side
    57,423.71x = 1,884,367,768.76
  5. Step 5: Solve for x
    x = 1,884,367,768.76/57,423.71
  6. Step 6: Final answer
    x = 32,815.15

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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.