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Finding the Fourth Proportional to 77,581.86, 107,069.19 and 45,326.85

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Solution

The fourth proportional to 77,581.86, 107,069.19 and 45,326.85 is: 62,554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,581.86 : 107,069.19 = 45,326.85 : x
  2. Step 2: Convert to fraction form
    77,581.86/107,069.19 = 45,326.85/x
  3. Step 3: Cross multiply
    77,581.86x = 107,069.19 × 45,326.85
  4. Step 4: Simplify right side
    77,581.86x = 4,853,109,114.75
  5. Step 5: Solve for x
    x = 4,853,109,114.75/77,581.86
  6. Step 6: Final answer
    x = 62,554.69

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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.