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Finding the Fourth Proportional to 217,006.25, 299,480.96 and 121,512.11

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Solution

The fourth proportional to 217,006.25, 299,480.96 and 121,512.11 is: 167,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,006.25 : 299,480.96 = 121,512.11 : x
  2. Step 2: Convert to fraction form
    217,006.25/299,480.96 = 121,512.11/x
  3. Step 3: Cross multiply
    217,006.25x = 299,480.96 × 121,512.11
  4. Step 4: Simplify right side
    217,006.25x = 36,390,562,160.80
  5. Step 5: Solve for x
    x = 36,390,562,160.80/217,006.25
  6. Step 6: Final answer
    x = 167,693.62

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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.