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Finding the Fourth Proportional to 101,581.74, 140,178.93 and 55,640.64

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Solution

The fourth proportional to 101,581.74, 140,178.93 and 55,640.64 is: 76,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,581.74 : 140,178.93 = 55,640.64 : x
  2. Step 2: Convert to fraction form
    101,581.74/140,178.93 = 55,640.64/x
  3. Step 3: Cross multiply
    101,581.74x = 140,178.93 × 55,640.64
  4. Step 4: Simplify right side
    101,581.74x = 7,799,645,379.72
  5. Step 5: Solve for x
    x = 7,799,645,379.72/101,581.74
  6. Step 6: Final answer
    x = 76,781.96

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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.