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Finding the Fourth Proportional to 57,842.28, 86,664.40 and 31,565.48

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Solution

The fourth proportional to 57,842.28, 86,664.40 and 31,565.48 is: 47,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,842.28 : 86,664.40 = 31,565.48 : x
  2. Step 2: Convert to fraction form
    57,842.28/86,664.40 = 31,565.48/x
  3. Step 3: Cross multiply
    57,842.28x = 86,664.40 × 31,565.48
  4. Step 4: Simplify right side
    57,842.28x = 2,735,603,384.91
  5. Step 5: Solve for x
    x = 2,735,603,384.91/57,842.28
  6. Step 6: Final answer
    x = 47,294.18

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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.