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Finding the Fourth Proportional to 57,842.78, 86,665.15 and 31,565.98

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Solution

The fourth proportional to 57,842.78, 86,665.15 and 31,565.98 is: 47,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,842.78 : 86,665.15 = 31,565.98 : x
  2. Step 2: Convert to fraction form
    57,842.78/86,665.15 = 31,565.98/x
  3. Step 3: Cross multiply
    57,842.78x = 86,665.15 × 31,565.98
  4. Step 4: Simplify right side
    57,842.78x = 2,735,670,391.60
  5. Step 5: Solve for x
    x = 2,735,670,391.60/57,842.78
  6. Step 6: Final answer
    x = 47,294.93

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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.