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Finding the Fourth Proportional to 57,701.40, 86,616.90 and 31,392.60

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Solution

The fourth proportional to 57,701.40, 86,616.90 and 31,392.60 is: 47,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,701.40 : 86,616.90 = 31,392.60 : x
  2. Step 2: Convert to fraction form
    57,701.40/86,616.90 = 31,392.60/x
  3. Step 3: Cross multiply
    57,701.40x = 86,616.90 × 31,392.60
  4. Step 4: Simplify right side
    57,701.40x = 2,719,129,694.94
  5. Step 5: Solve for x
    x = 2,719,129,694.94/57,701.40
  6. Step 6: Final answer
    x = 47,124.15

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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.