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Finding the Fourth Proportional to 205,509.52, 308,439.24 and 80,938

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Solution

The fourth proportional to 205,509.52, 308,439.24 and 80,938 is: 121,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,509.52 : 308,439.24 = 80,938 : x
  2. Step 2: Convert to fraction form
    205,509.52/308,439.24 = 80,938/x
  3. Step 3: Cross multiply
    205,509.52x = 308,439.24 × 80,938
  4. Step 4: Simplify right side
    205,509.52x = 24,964,455,207.12
  5. Step 5: Solve for x
    x = 24,964,455,207.12/205,509.52
  6. Step 6: Final answer
    x = 121,475.91

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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.