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Finding the Fourth Proportional to 57,314.30, 85,971.45 and 15,761.30

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Solution

The fourth proportional to 57,314.30, 85,971.45 and 15,761.30 is: 23,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,314.30 : 85,971.45 = 15,761.30 : x
  2. Step 2: Convert to fraction form
    57,314.30/85,971.45 = 15,761.30/x
  3. Step 3: Cross multiply
    57,314.30x = 85,971.45 × 15,761.30
  4. Step 4: Simplify right side
    57,314.30x = 1,355,021,814.89
  5. Step 5: Solve for x
    x = 1,355,021,814.89/57,314.30
  6. Step 6: Final answer
    x = 23,641.95

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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.