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Finding the Fourth Proportional to 101,864, 140,565.82 and 56,542.88

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Solution

The fourth proportional to 101,864, 140,565.82 and 56,542.88 is: 78,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,864 : 140,565.82 = 56,542.88 : x
  2. Step 2: Convert to fraction form
    101,864/140,565.82 = 56,542.88/x
  3. Step 3: Cross multiply
    101,864x = 140,565.82 × 56,542.88
  4. Step 4: Simplify right side
    101,864x = 7,947,996,292.36
  5. Step 5: Solve for x
    x = 7,947,996,292.36/101,864
  6. Step 6: Final answer
    x = 78,025.57

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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.