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Finding the Fourth Proportional to 78,833.76, 108,781.68 and 45,310.56

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Solution

The fourth proportional to 78,833.76, 108,781.68 and 45,310.56 is: 62,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833.76 : 108,781.68 = 45,310.56 : x
  2. Step 2: Convert to fraction form
    78,833.76/108,781.68 = 45,310.56/x
  3. Step 3: Cross multiply
    78,833.76x = 108,781.68 × 45,310.56
  4. Step 4: Simplify right side
    78,833.76x = 4,928,958,838.54
  5. Step 5: Solve for x
    x = 4,928,958,838.54/78,833.76
  6. Step 6: Final answer
    x = 62,523.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.