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Finding the Fourth Proportional to 57,314.80, 85,972.20 and 15,761.80

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Solution

The fourth proportional to 57,314.80, 85,972.20 and 15,761.80 is: 23,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,314.80 : 85,972.20 = 15,761.80 : x
  2. Step 2: Convert to fraction form
    57,314.80/85,972.20 = 15,761.80/x
  3. Step 3: Cross multiply
    57,314.80x = 85,972.20 × 15,761.80
  4. Step 4: Simplify right side
    57,314.80x = 1,355,076,621.96
  5. Step 5: Solve for x
    x = 1,355,076,621.96/57,314.80
  6. Step 6: Final answer
    x = 23,642.70

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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.