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Finding the Fourth Proportional to 217,206.72, 299,753.38 and 121,709.88

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Solution

The fourth proportional to 217,206.72, 299,753.38 and 121,709.88 is: 167,964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,206.72 : 299,753.38 = 121,709.88 : x
  2. Step 2: Convert to fraction form
    217,206.72/299,753.38 = 121,709.88/x
  3. Step 3: Cross multiply
    217,206.72x = 299,753.38 × 121,709.88
  4. Step 4: Simplify right side
    217,206.72x = 36,482,947,909.39
  5. Step 5: Solve for x
    x = 36,482,947,909.39/217,206.72
  6. Step 6: Final answer
    x = 167,964.18

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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.