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Finding the Fourth Proportional to 103,988.64, 156,010.62 and 32,912.64

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Solution

The fourth proportional to 103,988.64, 156,010.62 and 32,912.64 is: 49,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,988.64 : 156,010.62 = 32,912.64 : x
  2. Step 2: Convert to fraction form
    103,988.64/156,010.62 = 32,912.64/x
  3. Step 3: Cross multiply
    103,988.64x = 156,010.62 × 32,912.64
  4. Step 4: Simplify right side
    103,988.64x = 5,134,721,372.24
  5. Step 5: Solve for x
    x = 5,134,721,372.24/103,988.64
  6. Step 6: Final answer
    x = 49,377.71

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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.