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Finding the Fourth Proportional to 80,638.74, 120,959.78 and 29,345.65

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Solution

The fourth proportional to 80,638.74, 120,959.78 and 29,345.65 is: 44,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,638.74 : 120,959.78 = 29,345.65 : x
  2. Step 2: Convert to fraction form
    80,638.74/120,959.78 = 29,345.65/x
  3. Step 3: Cross multiply
    80,638.74x = 120,959.78 × 29,345.65
  4. Step 4: Simplify right side
    80,638.74x = 3,549,642,918.83
  5. Step 5: Solve for x
    x = 3,549,642,918.83/80,638.74
  6. Step 6: Final answer
    x = 44,019.08

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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.