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Finding the Fourth Proportional to 52,755, 79,132.50 and 15,819

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Solution

The fourth proportional to 52,755, 79,132.50 and 15,819 is: 23,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,755 : 79,132.50 = 15,819 : x
  2. Step 2: Convert to fraction form
    52,755/79,132.50 = 15,819/x
  3. Step 3: Cross multiply
    52,755x = 79,132.50 × 15,819
  4. Step 4: Simplify right side
    52,755x = 1,251,797,017.50
  5. Step 5: Solve for x
    x = 1,251,797,017.50/52,755
  6. Step 6: Final answer
    x = 23,728.50

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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.