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Finding the Fourth Proportional to 228,748.85, 343,169.15 and 78,994.65

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Solution

The fourth proportional to 228,748.85, 343,169.15 and 78,994.65 is: 118,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,748.85 : 343,169.15 = 78,994.65 : x
  2. Step 2: Convert to fraction form
    228,748.85/343,169.15 = 78,994.65/x
  3. Step 3: Cross multiply
    228,748.85x = 343,169.15 × 78,994.65
  4. Step 4: Simplify right side
    228,748.85x = 27,108,526,500.07
  5. Step 5: Solve for x
    x = 27,108,526,500.07/228,748.85
  6. Step 6: Final answer
    x = 118,507.82

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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.