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Finding the Fourth Proportional to 218,612.30, 327,918.45 and 78,385.10

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Solution

The fourth proportional to 218,612.30, 327,918.45 and 78,385.10 is: 117,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,612.30 : 327,918.45 = 78,385.10 : x
  2. Step 2: Convert to fraction form
    218,612.30/327,918.45 = 78,385.10/x
  3. Step 3: Cross multiply
    218,612.30x = 327,918.45 × 78,385.10
  4. Step 4: Simplify right side
    218,612.30x = 25,703,920,495.10
  5. Step 5: Solve for x
    x = 25,703,920,495.10/218,612.30
  6. Step 6: Final answer
    x = 117,577.65

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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.