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Finding the Fourth Proportional to 232,781.70, 321,361.38 and 156,700.86

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Solution

The fourth proportional to 232,781.70, 321,361.38 and 156,700.86 is: 216,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,781.70 : 321,361.38 = 156,700.86 : x
  2. Step 2: Convert to fraction form
    232,781.70/321,361.38 = 156,700.86/x
  3. Step 3: Cross multiply
    232,781.70x = 321,361.38 × 156,700.86
  4. Step 4: Simplify right side
    232,781.70x = 50,357,604,616.79
  5. Step 5: Solve for x
    x = 50,357,604,616.79/232,781.70
  6. Step 6: Final answer
    x = 216,329.74

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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.