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Finding the Fourth Proportional to 215,732.76, 297,711.66 and 120,237.54

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Solution

The fourth proportional to 215,732.76, 297,711.66 and 120,237.54 is: 165,928.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,732.76 : 297,711.66 = 120,237.54 : x
  2. Step 2: Convert to fraction form
    215,732.76/297,711.66 = 120,237.54/x
  3. Step 3: Cross multiply
    215,732.76x = 297,711.66 × 120,237.54
  4. Step 4: Simplify right side
    215,732.76x = 35,796,117,627.72
  5. Step 5: Solve for x
    x = 35,796,117,627.72/215,732.76
  6. Step 6: Final answer
    x = 165,928.06

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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.