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Finding the Fourth Proportional to 65,729.38, 98,581.47 and 28,295.86

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Solution

The fourth proportional to 65,729.38, 98,581.47 and 28,295.86 is: 42,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,729.38 : 98,581.47 = 28,295.86 : x
  2. Step 2: Convert to fraction form
    65,729.38/98,581.47 = 28,295.86/x
  3. Step 3: Cross multiply
    65,729.38x = 98,581.47 × 28,295.86
  4. Step 4: Simplify right side
    65,729.38x = 2,789,447,473.71
  5. Step 5: Solve for x
    x = 2,789,447,473.71/65,729.38
  6. Step 6: Final answer
    x = 42,438.37

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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.