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Finding the Fourth Proportional to 208,901.64, 313,352.04 and 75,781.56

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Solution

The fourth proportional to 208,901.64, 313,352.04 and 75,781.56 is: 113,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,901.64 : 313,352.04 = 75,781.56 : x
  2. Step 2: Convert to fraction form
    208,901.64/313,352.04 = 75,781.56/x
  3. Step 3: Cross multiply
    208,901.64x = 313,352.04 × 75,781.56
  4. Step 4: Simplify right side
    208,901.64x = 23,746,306,420.38
  5. Step 5: Solve for x
    x = 23,746,306,420.38/208,901.64
  6. Step 6: Final answer
    x = 113,672.19

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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.