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Finding the Fourth Proportional to 109,187.65, 163,780.52 and 30,301.88

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Solution

The fourth proportional to 109,187.65, 163,780.52 and 30,301.88 is: 45,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,187.65 : 163,780.52 = 30,301.88 : x
  2. Step 2: Convert to fraction form
    109,187.65/163,780.52 = 30,301.88/x
  3. Step 3: Cross multiply
    109,187.65x = 163,780.52 × 30,301.88
  4. Step 4: Simplify right side
    109,187.65x = 4,962,857,663.38
  5. Step 5: Solve for x
    x = 4,962,857,663.38/109,187.65
  6. Step 6: Final answer
    x = 45,452.55

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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.