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Finding the Fourth Proportional to 199,000.20, 297,722.70 and 129,016.20

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Solution

The fourth proportional to 199,000.20, 297,722.70 and 129,016.20 is: 193,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,000.20 : 297,722.70 = 129,016.20 : x
  2. Step 2: Convert to fraction form
    199,000.20/297,722.70 = 129,016.20/x
  3. Step 3: Cross multiply
    199,000.20x = 297,722.70 × 129,016.20
  4. Step 4: Simplify right side
    199,000.20x = 38,411,051,407.74
  5. Step 5: Solve for x
    x = 38,411,051,407.74/199,000.20
  6. Step 6: Final answer
    x = 193,020.16

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1.5x scale

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.