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Finding the Fourth Proportional to 138,872.22, 191,655.47 and 78,453.95

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Solution

The fourth proportional to 138,872.22, 191,655.47 and 78,453.95 is: 108,273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,872.22 : 191,655.47 = 78,453.95 : x
  2. Step 2: Convert to fraction form
    138,872.22/191,655.47 = 78,453.95/x
  3. Step 3: Cross multiply
    138,872.22x = 191,655.47 × 78,453.95
  4. Step 4: Simplify right side
    138,872.22x = 15,036,129,343.77
  5. Step 5: Solve for x
    x = 15,036,129,343.77/138,872.22
  6. Step 6: Final answer
    x = 108,273.12

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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.