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Finding the Fourth Proportional to 65,485.53, 90,380.87 and 38,634.61

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Solution

The fourth proportional to 65,485.53, 90,380.87 and 38,634.61 is: 53,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,485.53 : 90,380.87 = 38,634.61 : x
  2. Step 2: Convert to fraction form
    65,485.53/90,380.87 = 38,634.61/x
  3. Step 3: Cross multiply
    65,485.53x = 90,380.87 × 38,634.61
  4. Step 4: Simplify right side
    65,485.53x = 3,491,829,663.91
  5. Step 5: Solve for x
    x = 3,491,829,663.91/65,485.53
  6. Step 6: Final answer
    x = 53,322.16

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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.