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Finding the Fourth Proportional to 138,772.04, 191,494.76 and 78,348.65

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Solution

The fourth proportional to 138,772.04, 191,494.76 and 78,348.65 is: 108,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,772.04 : 191,494.76 = 78,348.65 : x
  2. Step 2: Convert to fraction form
    138,772.04/191,494.76 = 78,348.65/x
  3. Step 3: Cross multiply
    138,772.04x = 191,494.76 × 78,348.65
  4. Step 4: Simplify right side
    138,772.04x = 15,003,354,578.86
  5. Step 5: Solve for x
    x = 15,003,354,578.86/138,772.04
  6. Step 6: Final answer
    x = 108,115.12

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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.