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Finding the Fourth Proportional to 109,097.80, 163,589.10 and 38,979.40

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Solution

The fourth proportional to 109,097.80, 163,589.10 and 38,979.40 is: 58,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,097.80 : 163,589.10 = 38,979.40 : x
  2. Step 2: Convert to fraction form
    109,097.80/163,589.10 = 38,979.40/x
  3. Step 3: Cross multiply
    109,097.80x = 163,589.10 × 38,979.40
  4. Step 4: Simplify right side
    109,097.80x = 6,376,604,964.54
  5. Step 5: Solve for x
    x = 6,376,604,964.54/109,097.80
  6. Step 6: Final answer
    x = 58,448.52

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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.