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Finding the Fourth Proportional to 205,410.30, 308,115.45 and 72,440.70

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Solution

The fourth proportional to 205,410.30, 308,115.45 and 72,440.70 is: 108,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,410.30 : 308,115.45 = 72,440.70 : x
  2. Step 2: Convert to fraction form
    205,410.30/308,115.45 = 72,440.70/x
  3. Step 3: Cross multiply
    205,410.30x = 308,115.45 × 72,440.70
  4. Step 4: Simplify right side
    205,410.30x = 22,320,098,878.82
  5. Step 5: Solve for x
    x = 22,320,098,878.82/205,410.30
  6. Step 6: Final answer
    x = 108,661.05

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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.