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Finding the Fourth Proportional to 52,269.44, 78,404 and 21,104.32

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Solution

The fourth proportional to 52,269.44, 78,404 and 21,104.32 is: 31,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,269.44 : 78,404 = 21,104.32 : x
  2. Step 2: Convert to fraction form
    52,269.44/78,404 = 21,104.32/x
  3. Step 3: Cross multiply
    52,269.44x = 78,404 × 21,104.32
  4. Step 4: Simplify right side
    52,269.44x = 1,654,663,105.28
  5. Step 5: Solve for x
    x = 1,654,663,105.28/52,269.44
  6. Step 6: Final answer
    x = 31,656.42

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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.