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Finding the Fourth Proportional to 78,079.20, 117,119.77 and 27,479.74

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Solution

The fourth proportional to 78,079.20, 117,119.77 and 27,479.74 is: 41,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,079.20 : 117,119.77 = 27,479.74 : x
  2. Step 2: Convert to fraction form
    78,079.20/117,119.77 = 27,479.74/x
  3. Step 3: Cross multiply
    78,079.20x = 117,119.77 × 27,479.74
  4. Step 4: Simplify right side
    78,079.20x = 3,218,420,828.46
  5. Step 5: Solve for x
    x = 3,218,420,828.46/78,079.20
  6. Step 6: Final answer
    x = 41,219.95

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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.