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Finding the Fourth Proportional to 66,531.68, 99,797.52 and 31,423.04

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Solution

The fourth proportional to 66,531.68, 99,797.52 and 31,423.04 is: 47,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,531.68 : 99,797.52 = 31,423.04 : x
  2. Step 2: Convert to fraction form
    66,531.68/99,797.52 = 31,423.04/x
  3. Step 3: Cross multiply
    66,531.68x = 99,797.52 × 31,423.04
  4. Step 4: Simplify right side
    66,531.68x = 3,135,941,462.86
  5. Step 5: Solve for x
    x = 3,135,941,462.86/66,531.68
  6. Step 6: Final answer
    x = 47,134.56

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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.