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Finding the Fourth Proportional to 78,452.56, 117,641.88 and 28,497.44

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Solution

The fourth proportional to 78,452.56, 117,641.88 and 28,497.44 is: 42,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,452.56 : 117,641.88 = 28,497.44 : x
  2. Step 2: Convert to fraction form
    78,452.56/117,641.88 = 28,497.44/x
  3. Step 3: Cross multiply
    78,452.56x = 117,641.88 × 28,497.44
  4. Step 4: Simplify right side
    78,452.56x = 3,352,492,416.79
  5. Step 5: Solve for x
    x = 3,352,492,416.79/78,452.56
  6. Step 6: Final answer
    x = 42,732.73

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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.