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Finding the Fourth Proportional to 216,223, 324,251.88 and 103,871.20

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Solution

The fourth proportional to 216,223, 324,251.88 and 103,871.20 is: 155,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,223 : 324,251.88 = 103,871.20 : x
  2. Step 2: Convert to fraction form
    216,223/324,251.88 = 103,871.20/x
  3. Step 3: Cross multiply
    216,223x = 324,251.88 × 103,871.20
  4. Step 4: Simplify right side
    216,223x = 33,680,431,877.86
  5. Step 5: Solve for x
    x = 33,680,431,877.86/216,223
  6. Step 6: Final answer
    x = 155,767.11

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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.