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Finding the Fourth Proportional to 57,909.78, 86,879.28 and 16,356.78

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Solution

The fourth proportional to 57,909.78, 86,879.28 and 16,356.78 is: 24,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,909.78 : 86,879.28 = 16,356.78 : x
  2. Step 2: Convert to fraction form
    57,909.78/86,879.28 = 16,356.78/x
  3. Step 3: Cross multiply
    57,909.78x = 86,879.28 × 16,356.78
  4. Step 4: Simplify right side
    57,909.78x = 1,421,065,269.52
  5. Step 5: Solve for x
    x = 1,421,065,269.52/57,909.78
  6. Step 6: Final answer
    x = 24,539.30

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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.