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Finding the Fourth Proportional to 215,822.72, 323,737.20 and 82,709.76

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Solution

The fourth proportional to 215,822.72, 323,737.20 and 82,709.76 is: 124,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,822.72 : 323,737.20 = 82,709.76 : x
  2. Step 2: Convert to fraction form
    215,822.72/323,737.20 = 82,709.76/x
  3. Step 3: Cross multiply
    215,822.72x = 323,737.20 × 82,709.76
  4. Step 4: Simplify right side
    215,822.72x = 26,776,226,115.07
  5. Step 5: Solve for x
    x = 26,776,226,115.07/215,822.72
  6. Step 6: Final answer
    x = 124,065.84

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1.5x scale

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.