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Finding the Fourth Proportional to 203,482.13, 305,223.20 and 78,823.13

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Solution

The fourth proportional to 203,482.13, 305,223.20 and 78,823.13 is: 118,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,482.13 : 305,223.20 = 78,823.13 : x
  2. Step 2: Convert to fraction form
    203,482.13/305,223.20 = 78,823.13/x
  3. Step 3: Cross multiply
    203,482.13x = 305,223.20 × 78,823.13
  4. Step 4: Simplify right side
    203,482.13x = 24,058,647,972.62
  5. Step 5: Solve for x
    x = 24,058,647,972.62/203,482.13
  6. Step 6: Final answer
    x = 118,234.70

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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.