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Finding the Fourth Proportional to 138,940.95, 191,736.01 and 78,510.30

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Solution

The fourth proportional to 138,940.95, 191,736.01 and 78,510.30 is: 108,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940.95 : 191,736.01 = 78,510.30 : x
  2. Step 2: Convert to fraction form
    138,940.95/191,736.01 = 78,510.30/x
  3. Step 3: Cross multiply
    138,940.95x = 191,736.01 × 78,510.30
  4. Step 4: Simplify right side
    138,940.95x = 15,053,250,314.67
  5. Step 5: Solve for x
    x = 15,053,250,314.67/138,940.95
  6. Step 6: Final answer
    x = 108,342.79

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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.