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Finding the Fourth Proportional to 57,120, 85,680 and 15,567

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Solution

The fourth proportional to 57,120, 85,680 and 15,567 is: 23,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,120 : 85,680 = 15,567 : x
  2. Step 2: Convert to fraction form
    57,120/85,680 = 15,567/x
  3. Step 3: Cross multiply
    57,120x = 85,680 × 15,567
  4. Step 4: Simplify right side
    57,120x = 1,333,780,560
  5. Step 5: Solve for x
    x = 1,333,780,560/57,120
  6. Step 6: Final answer
    x = 23,350.50

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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.