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Finding the Fourth Proportional to 138,080, 207,122.52 and 43,308.06

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Solution

The fourth proportional to 138,080, 207,122.52 and 43,308.06 is: 64,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,080 : 207,122.52 = 43,308.06 : x
  2. Step 2: Convert to fraction form
    138,080/207,122.52 = 43,308.06/x
  3. Step 3: Cross multiply
    138,080x = 207,122.52 × 43,308.06
  4. Step 4: Simplify right side
    138,080x = 8,970,074,523.51
  5. Step 5: Solve for x
    x = 8,970,074,523.51/138,080
  6. Step 6: Final answer
    x = 64,962.88

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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.