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Finding the Fourth Proportional to 208,551.80, 312,821.78 and 100,456.76

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Solution

The fourth proportional to 208,551.80, 312,821.78 and 100,456.76 is: 150,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,551.80 : 312,821.78 = 100,456.76 : x
  2. Step 2: Convert to fraction form
    208,551.80/312,821.78 = 100,456.76/x
  3. Step 3: Cross multiply
    208,551.80x = 312,821.78 × 100,456.76
  4. Step 4: Simplify right side
    208,551.80x = 31,425,062,476.23
  5. Step 5: Solve for x
    x = 31,425,062,476.23/208,551.80
  6. Step 6: Final answer
    x = 150,682.29

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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.