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Finding the Fourth Proportional to 138,594.65, 208,242.29 and 132,989.62

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Solution

The fourth proportional to 138,594.65, 208,242.29 and 132,989.62 is: 199,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,594.65 : 208,242.29 = 132,989.62 : x
  2. Step 2: Convert to fraction form
    138,594.65/208,242.29 = 132,989.62/x
  3. Step 3: Cross multiply
    138,594.65x = 208,242.29 × 132,989.62
  4. Step 4: Simplify right side
    138,594.65x = 27,694,063,015.03
  5. Step 5: Solve for x
    x = 27,694,063,015.03/138,594.65
  6. Step 6: Final answer
    x = 199,820.58

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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.