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Finding the Fourth Proportional to 215,711.88, 297,682.68 and 120,216.48

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Solution

The fourth proportional to 215,711.88, 297,682.68 and 120,216.48 is: 165,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,711.88 : 297,682.68 = 120,216.48 : x
  2. Step 2: Convert to fraction form
    215,711.88/297,682.68 = 120,216.48/x
  3. Step 3: Cross multiply
    215,711.88x = 297,682.68 × 120,216.48
  4. Step 4: Simplify right side
    215,711.88x = 35,786,363,946.57
  5. Step 5: Solve for x
    x = 35,786,363,946.57/215,711.88
  6. Step 6: Final answer
    x = 165,898.90

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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.