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Finding the Fourth Proportional to 212,170.92, 292,713 and 121,478.42

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Solution

The fourth proportional to 212,170.92, 292,713 and 121,478.42 is: 167,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,170.92 : 292,713 = 121,478.42 : x
  2. Step 2: Convert to fraction form
    212,170.92/292,713 = 121,478.42/x
  3. Step 3: Cross multiply
    212,170.92x = 292,713 × 121,478.42
  4. Step 4: Simplify right side
    212,170.92x = 35,558,311,289.90
  5. Step 5: Solve for x
    x = 35,558,311,289.90/212,170.92
  6. Step 6: Final answer
    x = 167,592.77

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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.