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Finding the Fourth Proportional to 216,313.80, 323,831.66 and 159,778.52

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Solution

The fourth proportional to 216,313.80, 323,831.66 and 159,778.52 is: 239,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,313.80 : 323,831.66 = 159,778.52 : x
  2. Step 2: Convert to fraction form
    216,313.80/323,831.66 = 159,778.52/x
  3. Step 3: Cross multiply
    216,313.80x = 323,831.66 × 159,778.52
  4. Step 4: Simplify right side
    216,313.80x = 51,741,343,363.94
  5. Step 5: Solve for x
    x = 51,741,343,363.94/216,313.80
  6. Step 6: Final answer
    x = 239,195.76

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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.