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Finding the Fourth Proportional to 205,866.72, 308,701.44 and 100,562.40

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Solution

The fourth proportional to 205,866.72, 308,701.44 and 100,562.40 is: 150,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,866.72 : 308,701.44 = 100,562.40 : x
  2. Step 2: Convert to fraction form
    205,866.72/308,701.44 = 100,562.40/x
  3. Step 3: Cross multiply
    205,866.72x = 308,701.44 × 100,562.40
  4. Step 4: Simplify right side
    205,866.72x = 31,043,757,689.86
  5. Step 5: Solve for x
    x = 31,043,757,689.86/205,866.72
  6. Step 6: Final answer
    x = 150,795.42

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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.