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Finding the Fourth Proportional to 138,911.10, 191,728.67 and 78,516.69

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Solution

The fourth proportional to 138,911.10, 191,728.67 and 78,516.69 is: 108,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,911.10 : 191,728.67 = 78,516.69 : x
  2. Step 2: Convert to fraction form
    138,911.10/191,728.67 = 78,516.69/x
  3. Step 3: Cross multiply
    138,911.10x = 191,728.67 × 78,516.69
  4. Step 4: Simplify right side
    138,911.10x = 15,053,900,153.92
  5. Step 5: Solve for x
    x = 15,053,900,153.92/138,911.10
  6. Step 6: Final answer
    x = 108,370.75

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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.