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Finding the Fourth Proportional to 215,081.70, 322,665.62 and 120,446.46

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Solution

The fourth proportional to 215,081.70, 322,665.62 and 120,446.46 is: 180,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,081.70 : 322,665.62 = 120,446.46 : x
  2. Step 2: Convert to fraction form
    215,081.70/322,665.62 = 120,446.46/x
  3. Step 3: Cross multiply
    215,081.70x = 322,665.62 × 120,446.46
  4. Step 4: Simplify right side
    215,081.70x = 38,863,932,300.47
  5. Step 5: Solve for x
    x = 38,863,932,300.47/215,081.70
  6. Step 6: Final answer
    x = 180,693.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.