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Finding the Fourth Proportional to 138,257.46, 207,496.94 and 63,412.88

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Solution

The fourth proportional to 138,257.46, 207,496.94 and 63,412.88 is: 95,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,257.46 : 207,496.94 = 63,412.88 : x
  2. Step 2: Convert to fraction form
    138,257.46/207,496.94 = 63,412.88/x
  3. Step 3: Cross multiply
    138,257.46x = 207,496.94 × 63,412.88
  4. Step 4: Simplify right side
    138,257.46x = 13,157,977,202.04
  5. Step 5: Solve for x
    x = 13,157,977,202.04/138,257.46
  6. Step 6: Final answer
    x = 95,170.11

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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.