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Finding the Fourth Proportional to 92,110.80, 138,020.40 and 77,239.20

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Solution

The fourth proportional to 92,110.80, 138,020.40 and 77,239.20 is: 115,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,110.80 : 138,020.40 = 77,239.20 : x
  2. Step 2: Convert to fraction form
    92,110.80/138,020.40 = 77,239.20/x
  3. Step 3: Cross multiply
    92,110.80x = 138,020.40 × 77,239.20
  4. Step 4: Simplify right side
    92,110.80x = 10,660,585,279.68
  5. Step 5: Solve for x
    x = 10,660,585,279.68/92,110.80
  6. Step 6: Final answer
    x = 115,736.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.