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Finding the Fourth Proportional to 86,352.28, 129,286.42 and 65,225.84

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Solution

The fourth proportional to 86,352.28, 129,286.42 and 65,225.84 is: 97,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,352.28 : 129,286.42 = 65,225.84 : x
  2. Step 2: Convert to fraction form
    86,352.28/129,286.42 = 65,225.84/x
  3. Step 3: Cross multiply
    86,352.28x = 129,286.42 × 65,225.84
  4. Step 4: Simplify right side
    86,352.28x = 8,432,815,345.09
  5. Step 5: Solve for x
    x = 8,432,815,345.09/86,352.28
  6. Step 6: Final answer
    x = 97,655.97

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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.