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Finding the Fourth Proportional to 65,813.28, 98,734.50 and 36,215.88

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Solution

The fourth proportional to 65,813.28, 98,734.50 and 36,215.88 is: 54,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,813.28 : 98,734.50 = 36,215.88 : x
  2. Step 2: Convert to fraction form
    65,813.28/98,734.50 = 36,215.88/x
  3. Step 3: Cross multiply
    65,813.28x = 98,734.50 × 36,215.88
  4. Step 4: Simplify right side
    65,813.28x = 3,575,756,803.86
  5. Step 5: Solve for x
    x = 3,575,756,803.86/65,813.28
  6. Step 6: Final answer
    x = 54,331.84

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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.