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Finding the Fourth Proportional to 138,940.85, 191,735.85 and 78,510.19

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Solution

The fourth proportional to 138,940.85, 191,735.85 and 78,510.19 is: 108,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940.85 : 191,735.85 = 78,510.19 : x
  2. Step 2: Convert to fraction form
    138,940.85/191,735.85 = 78,510.19/x
  3. Step 3: Cross multiply
    138,940.85x = 191,735.85 × 78,510.19
  4. Step 4: Simplify right side
    138,940.85x = 15,053,218,013.31
  5. Step 5: Solve for x
    x = 15,053,218,013.31/138,940.85
  6. Step 6: Final answer
    x = 108,342.64

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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.