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Finding the Fourth Proportional to 138,904.61, 191,676.99 and 78,480.50

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Solution

The fourth proportional to 138,904.61, 191,676.99 and 78,480.50 is: 108,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,904.61 : 191,676.99 = 78,480.50 : x
  2. Step 2: Convert to fraction form
    138,904.61/191,676.99 = 78,480.50/x
  3. Step 3: Cross multiply
    138,904.61x = 191,676.99 × 78,480.50
  4. Step 4: Simplify right side
    138,904.61x = 15,042,906,013.70
  5. Step 5: Solve for x
    x = 15,042,906,013.70/138,904.61
  6. Step 6: Final answer
    x = 108,296.66

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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.