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Finding the Fourth Proportional to 199,793.76, 299,394 and 81,320.16

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Solution

The fourth proportional to 199,793.76, 299,394 and 81,320.16 is: 121,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,793.76 : 299,394 = 81,320.16 : x
  2. Step 2: Convert to fraction form
    199,793.76/299,394 = 81,320.16/x
  3. Step 3: Cross multiply
    199,793.76x = 299,394 × 81,320.16
  4. Step 4: Simplify right side
    199,793.76x = 24,346,767,983.04
  5. Step 5: Solve for x
    x = 24,346,767,983.04/199,793.76
  6. Step 6: Final answer
    x = 121,859.50

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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.