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Finding the Fourth Proportional to 86,114.28, 129,101.72 and 26,919.48

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Solution

The fourth proportional to 86,114.28, 129,101.72 and 26,919.48 is: 40,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,114.28 : 129,101.72 = 26,919.48 : x
  2. Step 2: Convert to fraction form
    86,114.28/129,101.72 = 26,919.48/x
  3. Step 3: Cross multiply
    86,114.28x = 129,101.72 × 26,919.48
  4. Step 4: Simplify right side
    86,114.28x = 3,475,351,034.91
  5. Step 5: Solve for x
    x = 3,475,351,034.91/86,114.28
  6. Step 6: Final answer
    x = 40,357.43

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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.