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Finding the Fourth Proportional to 138,079.74, 206,970.42 and 66,851.88

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Solution

The fourth proportional to 138,079.74, 206,970.42 and 66,851.88 is: 100,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,079.74 : 206,970.42 = 66,851.88 : x
  2. Step 2: Convert to fraction form
    138,079.74/206,970.42 = 66,851.88/x
  3. Step 3: Cross multiply
    138,079.74x = 206,970.42 × 66,851.88
  4. Step 4: Simplify right side
    138,079.74x = 13,836,361,681.39
  5. Step 5: Solve for x
    x = 13,836,361,681.39/138,079.74
  6. Step 6: Final answer
    x = 100,205.59

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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.