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Finding the Fourth Proportional to 199,031.20, 297,769.20 and 129,047.20

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Solution

The fourth proportional to 199,031.20, 297,769.20 and 129,047.20 is: 193,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,031.20 : 297,769.20 = 129,047.20 : x
  2. Step 2: Convert to fraction form
    199,031.20/297,769.20 = 129,047.20/x
  3. Step 3: Cross multiply
    199,031.20x = 297,769.20 × 129,047.20
  4. Step 4: Simplify right side
    199,031.20x = 38,426,281,506.24
  5. Step 5: Solve for x
    x = 38,426,281,506.24/199,031.20
  6. Step 6: Final answer
    x = 193,066.62

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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.