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Finding the Fourth Proportional to 215,927.96, 297,981 and 120,440.84

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Solution

The fourth proportional to 215,927.96, 297,981 and 120,440.84 is: 166,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,927.96 : 297,981 = 120,440.84 : x
  2. Step 2: Convert to fraction form
    215,927.96/297,981 = 120,440.84/x
  3. Step 3: Cross multiply
    215,927.96x = 297,981 × 120,440.84
  4. Step 4: Simplify right side
    215,927.96x = 35,889,080,454.14
  5. Step 5: Solve for x
    x = 35,889,080,454.14/215,927.96
  6. Step 6: Final answer
    x = 166,208.59

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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.