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Finding the Fourth Proportional to 34,141.20, 51,211.80 and 31,079.40

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Solution

The fourth proportional to 34,141.20, 51,211.80 and 31,079.40 is: 46,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.20 : 51,211.80 = 31,079.40 : x
  2. Step 2: Convert to fraction form
    34,141.20/51,211.80 = 31,079.40/x
  3. Step 3: Cross multiply
    34,141.20x = 51,211.80 × 31,079.40
  4. Step 4: Simplify right side
    34,141.20x = 1,591,632,016.92
  5. Step 5: Solve for x
    x = 1,591,632,016.92/34,141.20
  6. Step 6: Final answer
    x = 46,619.10

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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.