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Finding the Fourth Proportional to 78,682.47, 108,578.75 and 42,872.75

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Solution

The fourth proportional to 78,682.47, 108,578.75 and 42,872.75 is: 59,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,682.47 : 108,578.75 = 42,872.75 : x
  2. Step 2: Convert to fraction form
    78,682.47/108,578.75 = 42,872.75/x
  3. Step 3: Cross multiply
    78,682.47x = 108,578.75 × 42,872.75
  4. Step 4: Simplify right side
    78,682.47x = 4,655,069,604.06
  5. Step 5: Solve for x
    x = 4,655,069,604.06/78,682.47
  6. Step 6: Final answer
    x = 59,162.73

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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.