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Finding the Fourth Proportional to 215,722.76, 297,707.54 and 120,230.13

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Solution

The fourth proportional to 215,722.76, 297,707.54 and 120,230.13 is: 165,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,722.76 : 297,707.54 = 120,230.13 : x
  2. Step 2: Convert to fraction form
    215,722.76/297,707.54 = 120,230.13/x
  3. Step 3: Cross multiply
    215,722.76x = 297,707.54 × 120,230.13
  4. Step 4: Simplify right side
    215,722.76x = 35,793,416,236.18
  5. Step 5: Solve for x
    x = 35,793,416,236.18/215,722.76
  6. Step 6: Final answer
    x = 165,923.23

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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.