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Finding the Fourth Proportional to 76,951.90, 115,440 and 32,578.93

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Solution

The fourth proportional to 76,951.90, 115,440 and 32,578.93 is: 48,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,951.90 : 115,440 = 32,578.93 : x
  2. Step 2: Convert to fraction form
    76,951.90/115,440 = 32,578.93/x
  3. Step 3: Cross multiply
    76,951.90x = 115,440 × 32,578.93
  4. Step 4: Simplify right side
    76,951.90x = 3,760,911,679.20
  5. Step 5: Solve for x
    x = 3,760,911,679.20/76,951.90
  6. Step 6: Final answer
    x = 48,873.54

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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.