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Finding the Fourth Proportional to 138,877.74, 191,663.06 and 78,459.46

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Solution

The fourth proportional to 138,877.74, 191,663.06 and 78,459.46 is: 108,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,877.74 : 191,663.06 = 78,459.46 : x
  2. Step 2: Convert to fraction form
    138,877.74/191,663.06 = 78,459.46/x
  3. Step 3: Cross multiply
    138,877.74x = 191,663.06 × 78,459.46
  4. Step 4: Simplify right side
    138,877.74x = 15,037,780,189.55
  5. Step 5: Solve for x
    x = 15,037,780,189.55/138,877.74
  6. Step 6: Final answer
    x = 108,280.71

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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.