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Finding the Fourth Proportional to 109,278.80, 163,932.80 and 38,193.20

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Solution

The fourth proportional to 109,278.80, 163,932.80 and 38,193.20 is: 57,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,278.80 : 163,932.80 = 38,193.20 : x
  2. Step 2: Convert to fraction form
    109,278.80/163,932.80 = 38,193.20/x
  3. Step 3: Cross multiply
    109,278.80x = 163,932.80 × 38,193.20
  4. Step 4: Simplify right side
    109,278.80x = 6,261,118,216.96
  5. Step 5: Solve for x
    x = 6,261,118,216.96/109,278.80
  6. Step 6: Final answer
    x = 57,294.90

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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.