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Finding the Fourth Proportional to 138,768.65, 191,505.71 and 78,350.04

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Solution

The fourth proportional to 138,768.65, 191,505.71 and 78,350.04 is: 108,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,768.65 : 191,505.71 = 78,350.04 : x
  2. Step 2: Convert to fraction form
    138,768.65/191,505.71 = 78,350.04/x
  3. Step 3: Cross multiply
    138,768.65x = 191,505.71 × 78,350.04
  4. Step 4: Simplify right side
    138,768.65x = 15,004,479,646.98
  5. Step 5: Solve for x
    x = 15,004,479,646.98/138,768.65
  6. Step 6: Final answer
    x = 108,125.86

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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.