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Finding the Fourth Proportional to 138,732.40, 191,451.40 and 78,305.60

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Solution

The fourth proportional to 138,732.40, 191,451.40 and 78,305.60 is: 108,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,732.40 : 191,451.40 = 78,305.60 : x
  2. Step 2: Convert to fraction form
    138,732.40/191,451.40 = 78,305.60/x
  3. Step 3: Cross multiply
    138,732.40x = 191,451.40 × 78,305.60
  4. Step 4: Simplify right side
    138,732.40x = 14,991,716,747.84
  5. Step 5: Solve for x
    x = 14,991,716,747.84/138,732.40
  6. Step 6: Final answer
    x = 108,062.12

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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.