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Finding the Fourth Proportional to 205,644.61, 308,470.56 and 72,521.92

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Solution

The fourth proportional to 205,644.61, 308,470.56 and 72,521.92 is: 108,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,644.61 : 308,470.56 = 72,521.92 : x
  2. Step 2: Convert to fraction form
    205,644.61/308,470.56 = 72,521.92/x
  3. Step 3: Cross multiply
    205,644.61x = 308,470.56 × 72,521.92
  4. Step 4: Simplify right side
    205,644.61x = 22,370,877,274.68
  5. Step 5: Solve for x
    x = 22,370,877,274.68/205,644.61
  6. Step 6: Final answer
    x = 108,784.17

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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.