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Finding the Fourth Proportional to 78,452.84, 117,642.20 and 28,498.11

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Solution

The fourth proportional to 78,452.84, 117,642.20 and 28,498.11 is: 42,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,452.84 : 117,642.20 = 28,498.11 : x
  2. Step 2: Convert to fraction form
    78,452.84/117,642.20 = 28,498.11/x
  3. Step 3: Cross multiply
    78,452.84x = 117,642.20 × 28,498.11
  4. Step 4: Simplify right side
    78,452.84x = 3,352,580,213.75
  5. Step 5: Solve for x
    x = 3,352,580,213.75/78,452.84
  6. Step 6: Final answer
    x = 42,733.70

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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.