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Finding the Fourth Proportional to 100,565.70, 138,773.79 and 55,245.58

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Solution

The fourth proportional to 100,565.70, 138,773.79 and 55,245.58 is: 76,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.70 : 138,773.79 = 55,245.58 : x
  2. Step 2: Convert to fraction form
    100,565.70/138,773.79 = 55,245.58/x
  3. Step 3: Cross multiply
    100,565.70x = 138,773.79 × 55,245.58
  4. Step 4: Simplify right side
    100,565.70x = 7,666,638,517.35
  5. Step 5: Solve for x
    x = 7,666,638,517.35/100,565.70
  6. Step 6: Final answer
    x = 76,235.12

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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.