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Finding the Fourth Proportional to 138,266.46, 207,510.42 and 63,421.86

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Solution

The fourth proportional to 138,266.46, 207,510.42 and 63,421.86 is: 95,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,266.46 : 207,510.42 = 63,421.86 : x
  2. Step 2: Convert to fraction form
    138,266.46/207,510.42 = 63,421.86/x
  3. Step 3: Cross multiply
    138,266.46x = 207,510.42 × 63,421.86
  4. Step 4: Simplify right side
    138,266.46x = 13,160,696,805.78
  5. Step 5: Solve for x
    x = 13,160,696,805.78/138,266.46
  6. Step 6: Final answer
    x = 95,183.58

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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.