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Finding the Fourth Proportional to 138,073.16, 206,978.40 and 88,012.70

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Solution

The fourth proportional to 138,073.16, 206,978.40 and 88,012.70 is: 131,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,073.16 : 206,978.40 = 88,012.70 : x
  2. Step 2: Convert to fraction form
    138,073.16/206,978.40 = 88,012.70/x
  3. Step 3: Cross multiply
    138,073.16x = 206,978.40 × 88,012.70
  4. Step 4: Simplify right side
    138,073.16x = 18,216,727,825.68
  5. Step 5: Solve for x
    x = 18,216,727,825.68/138,073.16
  6. Step 6: Final answer
    x = 131,935.33

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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.