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Finding the Fourth Proportional to 217,335.82, 299,923.23 and 121,842.54

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Solution

The fourth proportional to 217,335.82, 299,923.23 and 121,842.54 is: 168,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,335.82 : 299,923.23 = 121,842.54 : x
  2. Step 2: Convert to fraction form
    217,335.82/299,923.23 = 121,842.54/x
  3. Step 3: Cross multiply
    217,335.82x = 299,923.23 × 121,842.54
  4. Step 4: Simplify right side
    217,335.82x = 36,543,408,148.20
  5. Step 5: Solve for x
    x = 36,543,408,148.20/217,335.82
  6. Step 6: Final answer
    x = 168,142.59

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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.