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Finding the Fourth Proportional to 205,115.10, 307,672.65 and 191,895.90

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Solution

The fourth proportional to 205,115.10, 307,672.65 and 191,895.90 is: 287,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,115.10 : 307,672.65 = 191,895.90 : x
  2. Step 2: Convert to fraction form
    205,115.10/307,672.65 = 191,895.90/x
  3. Step 3: Cross multiply
    205,115.10x = 307,672.65 × 191,895.90
  4. Step 4: Simplify right side
    205,115.10x = 59,041,120,077.14
  5. Step 5: Solve for x
    x = 59,041,120,077.14/205,115.10
  6. Step 6: Final answer
    x = 287,843.85

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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.