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Finding the Fourth Proportional to 52,452.70, 78,711.86 and 21,287.95

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Solution

The fourth proportional to 52,452.70, 78,711.86 and 21,287.95 is: 31,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,452.70 : 78,711.86 = 21,287.95 : x
  2. Step 2: Convert to fraction form
    52,452.70/78,711.86 = 21,287.95/x
  3. Step 3: Cross multiply
    52,452.70x = 78,711.86 × 21,287.95
  4. Step 4: Simplify right side
    52,452.70x = 1,675,614,033.65
  5. Step 5: Solve for x
    x = 1,675,614,033.65/52,452.70
  6. Step 6: Final answer
    x = 31,945.24

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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.