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Finding the Fourth Proportional to 81,572.52, 122,286.30 and 28,975.08

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Solution

The fourth proportional to 81,572.52, 122,286.30 and 28,975.08 is: 43,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,572.52 : 122,286.30 = 28,975.08 : x
  2. Step 2: Convert to fraction form
    81,572.52/122,286.30 = 28,975.08/x
  3. Step 3: Cross multiply
    81,572.52x = 122,286.30 × 28,975.08
  4. Step 4: Simplify right side
    81,572.52x = 3,543,255,325.40
  5. Step 5: Solve for x
    x = 3,543,255,325.40/81,572.52
  6. Step 6: Final answer
    x = 43,436.87

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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.