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Finding the Fourth Proportional to 205,490.91, 308,261.27 and 72,343.92

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Solution

The fourth proportional to 205,490.91, 308,261.27 and 72,343.92 is: 108,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,490.91 : 308,261.27 = 72,343.92 : x
  2. Step 2: Convert to fraction form
    205,490.91/308,261.27 = 72,343.92/x
  3. Step 3: Cross multiply
    205,490.91x = 308,261.27 × 72,343.92
  4. Step 4: Simplify right side
    205,490.91x = 22,300,828,836.84
  5. Step 5: Solve for x
    x = 22,300,828,836.84/205,490.91
  6. Step 6: Final answer
    x = 108,524.65

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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.