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Finding the Fourth Proportional to 80,969.91, 121,451.40 and 27,666.66

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Solution

The fourth proportional to 80,969.91, 121,451.40 and 27,666.66 is: 41,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,969.91 : 121,451.40 = 27,666.66 : x
  2. Step 2: Convert to fraction form
    80,969.91/121,451.40 = 27,666.66/x
  3. Step 3: Cross multiply
    80,969.91x = 121,451.40 × 27,666.66
  4. Step 4: Simplify right side
    80,969.91x = 3,360,154,590.32
  5. Step 5: Solve for x
    x = 3,360,154,590.32/80,969.91
  6. Step 6: Final answer
    x = 41,498.81

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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.