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Finding the Fourth Proportional to 138,791.78, 191,521.50 and 78,377.12

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Solution

The fourth proportional to 138,791.78, 191,521.50 and 78,377.12 is: 108,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,791.78 : 191,521.50 = 78,377.12 : x
  2. Step 2: Convert to fraction form
    138,791.78/191,521.50 = 78,377.12/x
  3. Step 3: Cross multiply
    138,791.78x = 191,521.50 × 78,377.12
  4. Step 4: Simplify right side
    138,791.78x = 15,010,903,588.08
  5. Step 5: Solve for x
    x = 15,010,903,588.08/138,791.78
  6. Step 6: Final answer
    x = 108,154.13

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1.5x scale

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.