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Finding the Fourth Proportional to 217,138.50, 299,651.13 and 121,645.17

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Solution

The fourth proportional to 217,138.50, 299,651.13 and 121,645.17 is: 167,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,138.50 : 299,651.13 = 121,645.17 : x
  2. Step 2: Convert to fraction form
    217,138.50/299,651.13 = 121,645.17/x
  3. Step 3: Cross multiply
    217,138.50x = 299,651.13 × 121,645.17
  4. Step 4: Simplify right side
    217,138.50x = 36,451,112,649.54
  5. Step 5: Solve for x
    x = 36,451,112,649.54/217,138.50
  6. Step 6: Final answer
    x = 167,870.33

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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.