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Finding the Fourth Proportional to 138,782.68, 191,521.50 and 75,121.84

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Solution

The fourth proportional to 138,782.68, 191,521.50 and 75,121.84 is: 103,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,782.68 : 191,521.50 = 75,121.84 : x
  2. Step 2: Convert to fraction form
    138,782.68/191,521.50 = 75,121.84/x
  3. Step 3: Cross multiply
    138,782.68x = 191,521.50 × 75,121.84
  4. Step 4: Simplify right side
    138,782.68x = 14,387,447,479.56
  5. Step 5: Solve for x
    x = 14,387,447,479.56/138,782.68
  6. Step 6: Final answer
    x = 103,668.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.