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Finding the Fourth Proportional to 209,388.50, 313,955.90 and 93,961.82

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Solution

The fourth proportional to 209,388.50, 313,955.90 and 93,961.82 is: 140,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,388.50 : 313,955.90 = 93,961.82 : x
  2. Step 2: Convert to fraction form
    209,388.50/313,955.90 = 93,961.82/x
  3. Step 3: Cross multiply
    209,388.50x = 313,955.90 × 93,961.82
  4. Step 4: Simplify right side
    209,388.50x = 29,499,868,306.11
  5. Step 5: Solve for x
    x = 29,499,868,306.11/209,388.50
  6. Step 6: Final answer
    x = 140,885.81

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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.