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Finding the Fourth Proportional to 217,043.97, 299,522.76 and 120,249.90

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Solution

The fourth proportional to 217,043.97, 299,522.76 and 120,249.90 is: 165,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,043.97 : 299,522.76 = 120,249.90 : x
  2. Step 2: Convert to fraction form
    217,043.97/299,522.76 = 120,249.90/x
  3. Step 3: Cross multiply
    217,043.97x = 299,522.76 × 120,249.90
  4. Step 4: Simplify right side
    217,043.97x = 36,017,581,937.72
  5. Step 5: Solve for x
    x = 36,017,581,937.72/217,043.97
  6. Step 6: Final answer
    x = 165,946.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.