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Finding the Fourth Proportional to 218,919.30, 328,123.80 and 100,602.60

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Solution

The fourth proportional to 218,919.30, 328,123.80 and 100,602.60 is: 150,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,919.30 : 328,123.80 = 100,602.60 : x
  2. Step 2: Convert to fraction form
    218,919.30/328,123.80 = 100,602.60/x
  3. Step 3: Cross multiply
    218,919.30x = 328,123.80 × 100,602.60
  4. Step 4: Simplify right side
    218,919.30x = 33,010,107,401.88
  5. Step 5: Solve for x
    x = 33,010,107,401.88/218,919.30
  6. Step 6: Final answer
    x = 150,786.65

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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.