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Finding the Fourth Proportional to 215,652.24, 297,609.24 and 120,159

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Solution

The fourth proportional to 215,652.24, 297,609.24 and 120,159 is: 165,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,652.24 : 297,609.24 = 120,159 : x
  2. Step 2: Convert to fraction form
    215,652.24/297,609.24 = 120,159/x
  3. Step 3: Cross multiply
    215,652.24x = 297,609.24 × 120,159
  4. Step 4: Simplify right side
    215,652.24x = 35,760,428,669.16
  5. Step 5: Solve for x
    x = 35,760,428,669.16/215,652.24
  6. Step 6: Final answer
    x = 165,824.52

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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.