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Finding the Fourth Proportional to 138,600, 207,912.96 and 45,080.64

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Solution

The fourth proportional to 138,600, 207,912.96 and 45,080.64 is: 67,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,600 : 207,912.96 = 45,080.64 : x
  2. Step 2: Convert to fraction form
    138,600/207,912.96 = 45,080.64/x
  3. Step 3: Cross multiply
    138,600x = 207,912.96 × 45,080.64
  4. Step 4: Simplify right side
    138,600x = 9,372,849,301.09
  5. Step 5: Solve for x
    x = 9,372,849,301.09/138,600
  6. Step 6: Final answer
    x = 67,625.18

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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.