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Finding the Fourth Proportional to 86,142.91, 129,082.46 and 57,958.55

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Solution

The fourth proportional to 86,142.91, 129,082.46 and 57,958.55 is: 86,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,142.91 : 129,082.46 = 57,958.55 : x
  2. Step 2: Convert to fraction form
    86,142.91/129,082.46 = 57,958.55/x
  3. Step 3: Cross multiply
    86,142.91x = 129,082.46 × 57,958.55
  4. Step 4: Simplify right side
    86,142.91x = 7,481,432,679.64
  5. Step 5: Solve for x
    x = 7,481,432,679.64/86,142.91
  6. Step 6: Final answer
    x = 86,849.08

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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.