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Finding the Fourth Proportional to 216,993.96, 299,251.82 and 148,890.78

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Solution

The fourth proportional to 216,993.96, 299,251.82 and 148,890.78 is: 205,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,993.96 : 299,251.82 = 148,890.78 : x
  2. Step 2: Convert to fraction form
    216,993.96/299,251.82 = 148,890.78/x
  3. Step 3: Cross multiply
    216,993.96x = 299,251.82 × 148,890.78
  4. Step 4: Simplify right side
    216,993.96x = 44,555,836,896.22
  5. Step 5: Solve for x
    x = 44,555,836,896.22/216,993.96
  6. Step 6: Final answer
    x = 205,332.15

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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.