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Finding the Fourth Proportional to 56,877.72, 85,306.86 and 15,315

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Solution

The fourth proportional to 56,877.72, 85,306.86 and 15,315 is: 22,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,877.72 : 85,306.86 = 15,315 : x
  2. Step 2: Convert to fraction form
    56,877.72/85,306.86 = 15,315/x
  3. Step 3: Cross multiply
    56,877.72x = 85,306.86 × 15,315
  4. Step 4: Simplify right side
    56,877.72x = 1,306,474,560.90
  5. Step 5: Solve for x
    x = 1,306,474,560.90/56,877.72
  6. Step 6: Final answer
    x = 22,969.88

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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.