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Finding the Fourth Proportional to 100,565.85, 138,781.76 and 55,244.84

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Solution

The fourth proportional to 100,565.85, 138,781.76 and 55,244.84 is: 76,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.85 : 138,781.76 = 55,244.84 : x
  2. Step 2: Convert to fraction form
    100,565.85/138,781.76 = 55,244.84/x
  3. Step 3: Cross multiply
    100,565.85x = 138,781.76 × 55,244.84
  4. Step 4: Simplify right side
    100,565.85x = 7,666,975,155.99
  5. Step 5: Solve for x
    x = 7,666,975,155.99/100,565.85
  6. Step 6: Final answer
    x = 76,238.35

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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.