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Finding the Fourth Proportional to 66,702.96, 100,082.54 and 29,243.72

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Solution

The fourth proportional to 66,702.96, 100,082.54 and 29,243.72 is: 43,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,702.96 : 100,082.54 = 29,243.72 : x
  2. Step 2: Convert to fraction form
    66,702.96/100,082.54 = 29,243.72/x
  3. Step 3: Cross multiply
    66,702.96x = 100,082.54 × 29,243.72
  4. Step 4: Simplify right side
    66,702.96x = 2,926,785,776.65
  5. Step 5: Solve for x
    x = 2,926,785,776.65/66,702.96
  6. Step 6: Final answer
    x = 43,877.90

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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.