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Finding the Fourth Proportional to 71,152.65, 106,728.98 and 26,789.36

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Solution

The fourth proportional to 71,152.65, 106,728.98 and 26,789.36 is: 40,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.65 : 106,728.98 = 26,789.36 : x
  2. Step 2: Convert to fraction form
    71,152.65/106,728.98 = 26,789.36/x
  3. Step 3: Cross multiply
    71,152.65x = 106,728.98 × 26,789.36
  4. Step 4: Simplify right side
    71,152.65x = 2,859,200,400.06
  5. Step 5: Solve for x
    x = 2,859,200,400.06/71,152.65
  6. Step 6: Final answer
    x = 40,184.03

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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.