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Finding the Fourth Proportional to 72,909.77, 109,379.90 and 30,789.97

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Solution

The fourth proportional to 72,909.77, 109,379.90 and 30,789.97 is: 46,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,909.77 : 109,379.90 = 30,789.97 : x
  2. Step 2: Convert to fraction form
    72,909.77/109,379.90 = 30,789.97/x
  3. Step 3: Cross multiply
    72,909.77x = 109,379.90 × 30,789.97
  4. Step 4: Simplify right side
    72,909.77x = 3,367,803,643.13
  5. Step 5: Solve for x
    x = 3,367,803,643.13/72,909.77
  6. Step 6: Final answer
    x = 46,191.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.