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Finding the Fourth Proportional to 216,011.40, 323,919.90 and 82,847.40

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Solution

The fourth proportional to 216,011.40, 323,919.90 and 82,847.40 is: 124,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,011.40 : 323,919.90 = 82,847.40 : x
  2. Step 2: Convert to fraction form
    216,011.40/323,919.90 = 82,847.40/x
  3. Step 3: Cross multiply
    216,011.40x = 323,919.90 × 82,847.40
  4. Step 4: Simplify right side
    216,011.40x = 26,835,921,523.26
  5. Step 5: Solve for x
    x = 26,835,921,523.26/216,011.40
  6. Step 6: Final answer
    x = 124,233.82

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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.