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Finding the Fourth Proportional to 138,605.80, 207,908.70 and 75,620.20

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Solution

The fourth proportional to 138,605.80, 207,908.70 and 75,620.20 is: 113,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,605.80 : 207,908.70 = 75,620.20 : x
  2. Step 2: Convert to fraction form
    138,605.80/207,908.70 = 75,620.20/x
  3. Step 3: Cross multiply
    138,605.80x = 207,908.70 × 75,620.20
  4. Step 4: Simplify right side
    138,605.80x = 15,722,097,475.74
  5. Step 5: Solve for x
    x = 15,722,097,475.74/138,605.80
  6. Step 6: Final answer
    x = 113,430.30

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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.