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Finding the Fourth Proportional to 66,689.46, 100,062.27 and 29,230.20

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Solution

The fourth proportional to 66,689.46, 100,062.27 and 29,230.20 is: 43,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,689.46 : 100,062.27 = 29,230.20 : x
  2. Step 2: Convert to fraction form
    66,689.46/100,062.27 = 29,230.20/x
  3. Step 3: Cross multiply
    66,689.46x = 100,062.27 × 29,230.20
  4. Step 4: Simplify right side
    66,689.46x = 2,924,840,164.55
  5. Step 5: Solve for x
    x = 2,924,840,164.55/66,689.46
  6. Step 6: Final answer
    x = 43,857.61

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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.