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Finding the Fourth Proportional to 65,632.64, 90,576.96 and 49,691.84

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Solution

The fourth proportional to 65,632.64, 90,576.96 and 49,691.84 is: 68,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,632.64 : 90,576.96 = 49,691.84 : x
  2. Step 2: Convert to fraction form
    65,632.64/90,576.96 = 49,691.84/x
  3. Step 3: Cross multiply
    65,632.64x = 90,576.96 × 49,691.84
  4. Step 4: Simplify right side
    65,632.64x = 4,500,935,804.01
  5. Step 5: Solve for x
    x = 4,500,935,804.01/65,632.64
  6. Step 6: Final answer
    x = 68,577.70

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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.