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Finding the Fourth Proportional to 78,470.44, 117,711.42 and 31,722.28

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Solution

The fourth proportional to 78,470.44, 117,711.42 and 31,722.28 is: 47,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,470.44 : 117,711.42 = 31,722.28 : x
  2. Step 2: Convert to fraction form
    78,470.44/117,711.42 = 31,722.28/x
  3. Step 3: Cross multiply
    78,470.44x = 117,711.42 × 31,722.28
  4. Step 4: Simplify right side
    78,470.44x = 3,734,074,624.44
  5. Step 5: Solve for x
    x = 3,734,074,624.44/78,470.44
  6. Step 6: Final answer
    x = 47,585.75

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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.