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Finding the Fourth Proportional to 138,430.30, 207,645.45 and 135,805.90

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Solution

The fourth proportional to 138,430.30, 207,645.45 and 135,805.90 is: 203,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,430.30 : 207,645.45 = 135,805.90 : x
  2. Step 2: Convert to fraction form
    138,430.30/207,645.45 = 135,805.90/x
  3. Step 3: Cross multiply
    138,430.30x = 207,645.45 × 135,805.90
  4. Step 4: Simplify right side
    138,430.30x = 28,199,477,218.16
  5. Step 5: Solve for x
    x = 28,199,477,218.16/138,430.30
  6. Step 6: Final answer
    x = 203,708.85

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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.