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Finding the Fourth Proportional to 86,195.40, 129,240.14 and 33,543.56

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Solution

The fourth proportional to 86,195.40, 129,240.14 and 33,543.56 is: 50,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,195.40 : 129,240.14 = 33,543.56 : x
  2. Step 2: Convert to fraction form
    86,195.40/129,240.14 = 33,543.56/x
  3. Step 3: Cross multiply
    86,195.40x = 129,240.14 × 33,543.56
  4. Step 4: Simplify right side
    86,195.40x = 4,335,174,390.50
  5. Step 5: Solve for x
    x = 4,335,174,390.50/86,195.40
  6. Step 6: Final answer
    x = 50,294.73

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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.