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Finding the Fourth Proportional to 215,484.67, 323,002.32 and 120,575.71

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Solution

The fourth proportional to 215,484.67, 323,002.32 and 120,575.71 is: 180,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,484.67 : 323,002.32 = 120,575.71 : x
  2. Step 2: Convert to fraction form
    215,484.67/323,002.32 = 120,575.71/x
  3. Step 3: Cross multiply
    215,484.67x = 323,002.32 × 120,575.71
  4. Step 4: Simplify right side
    215,484.67x = 38,946,234,065.65
  5. Step 5: Solve for x
    x = 38,946,234,065.65/215,484.67
  6. Step 6: Final answer
    x = 180,737.84

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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.