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Finding the Fourth Proportional to 52,631.80, 78,978.84 and 19,375.24

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Solution

The fourth proportional to 52,631.80, 78,978.84 and 19,375.24 is: 29,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,631.80 : 78,978.84 = 19,375.24 : x
  2. Step 2: Convert to fraction form
    52,631.80/78,978.84 = 19,375.24/x
  3. Step 3: Cross multiply
    52,631.80x = 78,978.84 × 19,375.24
  4. Step 4: Simplify right side
    52,631.80x = 1,530,233,979.92
  5. Step 5: Solve for x
    x = 1,530,233,979.92/52,631.80
  6. Step 6: Final answer
    x = 29,074.32

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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.