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Finding the Fourth Proportional to 205,793.28, 308,710.08 and 105,678.72

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Solution

The fourth proportional to 205,793.28, 308,710.08 and 105,678.72 is: 158,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,793.28 : 308,710.08 = 105,678.72 : x
  2. Step 2: Convert to fraction form
    205,793.28/308,710.08 = 105,678.72/x
  3. Step 3: Cross multiply
    205,793.28x = 308,710.08 × 105,678.72
  4. Step 4: Simplify right side
    205,793.28x = 32,624,086,105.50
  5. Step 5: Solve for x
    x = 32,624,086,105.50/205,793.28
  6. Step 6: Final answer
    x = 158,528.43

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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.