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Finding the Fourth Proportional to 145,434.56, 218,082 and 86,277.92

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Solution

The fourth proportional to 145,434.56, 218,082 and 86,277.92 is: 129,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,434.56 : 218,082 = 86,277.92 : x
  2. Step 2: Convert to fraction form
    145,434.56/218,082 = 86,277.92/x
  3. Step 3: Cross multiply
    145,434.56x = 218,082 × 86,277.92
  4. Step 4: Simplify right side
    145,434.56x = 18,815,661,349.44
  5. Step 5: Solve for x
    x = 18,815,661,349.44/145,434.56
  6. Step 6: Final answer
    x = 129,375.45

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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.