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Finding the Fourth Proportional to 102,731.70, 153,820.62 and 67,104.78

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Solution

The fourth proportional to 102,731.70, 153,820.62 and 67,104.78 is: 100,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,731.70 : 153,820.62 = 67,104.78 : x
  2. Step 2: Convert to fraction form
    102,731.70/153,820.62 = 67,104.78/x
  3. Step 3: Cross multiply
    102,731.70x = 153,820.62 × 67,104.78
  4. Step 4: Simplify right side
    102,731.70x = 10,322,098,864.56
  5. Step 5: Solve for x
    x = 10,322,098,864.56/102,731.70
  6. Step 6: Final answer
    x = 100,476.28

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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.