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Finding the Fourth Proportional to 138,782.70, 207,846.13 and 67,753.98

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Solution

The fourth proportional to 138,782.70, 207,846.13 and 67,753.98 is: 101,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,782.70 : 207,846.13 = 67,753.98 : x
  2. Step 2: Convert to fraction form
    138,782.70/207,846.13 = 67,753.98/x
  3. Step 3: Cross multiply
    138,782.70x = 207,846.13 × 67,753.98
  4. Step 4: Simplify right side
    138,782.70x = 14,082,402,238.67
  5. Step 5: Solve for x
    x = 14,082,402,238.67/138,782.70
  6. Step 6: Final answer
    x = 101,470.88

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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.