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Finding the Fourth Proportional to 78,418.74, 117,628.11 and 28,489.53

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Solution

The fourth proportional to 78,418.74, 117,628.11 and 28,489.53 is: 42,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,418.74 : 117,628.11 = 28,489.53 : x
  2. Step 2: Convert to fraction form
    78,418.74/117,628.11 = 28,489.53/x
  3. Step 3: Cross multiply
    78,418.74x = 117,628.11 × 28,489.53
  4. Step 4: Simplify right side
    78,418.74x = 3,351,169,568.69
  5. Step 5: Solve for x
    x = 3,351,169,568.69/78,418.74
  6. Step 6: Final answer
    x = 42,734.30

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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.