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Finding the Fourth Proportional to 101,344.32, 151,852.32 and 61,781.76

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Solution

The fourth proportional to 101,344.32, 151,852.32 and 61,781.76 is: 92,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,344.32 : 151,852.32 = 61,781.76 : x
  2. Step 2: Convert to fraction form
    101,344.32/151,852.32 = 61,781.76/x
  3. Step 3: Cross multiply
    101,344.32x = 151,852.32 × 61,781.76
  4. Step 4: Simplify right side
    101,344.32x = 9,381,703,589.68
  5. Step 5: Solve for x
    x = 9,381,703,589.68/101,344.32
  6. Step 6: Final answer
    x = 92,572.56

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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.