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Finding the Fourth Proportional to 65,134.64, 89,887.76 and 36,839.76

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Solution

The fourth proportional to 65,134.64, 89,887.76 and 36,839.76 is: 50,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,134.64 : 89,887.76 = 36,839.76 : x
  2. Step 2: Convert to fraction form
    65,134.64/89,887.76 = 36,839.76/x
  3. Step 3: Cross multiply
    65,134.64x = 89,887.76 × 36,839.76
  4. Step 4: Simplify right side
    65,134.64x = 3,311,443,505.34
  5. Step 5: Solve for x
    x = 3,311,443,505.34/65,134.64
  6. Step 6: Final answer
    x = 50,839.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.