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Finding the Fourth Proportional to 71,791.52, 107,702.87 and 21,870.20

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Solution

The fourth proportional to 71,791.52, 107,702.87 and 21,870.20 is: 32,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,791.52 : 107,702.87 = 21,870.20 : x
  2. Step 2: Convert to fraction form
    71,791.52/107,702.87 = 21,870.20/x
  3. Step 3: Cross multiply
    71,791.52x = 107,702.87 × 21,870.20
  4. Step 4: Simplify right side
    71,791.52x = 2,355,483,467.38
  5. Step 5: Solve for x
    x = 2,355,483,467.38/71,791.52
  6. Step 6: Final answer
    x = 32,810.05

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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.