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Finding the Fourth Proportional to 77,104.86, 115,578.51 and 43,754.50

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Solution

The fourth proportional to 77,104.86, 115,578.51 and 43,754.50 is: 65,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,104.86 : 115,578.51 = 43,754.50 : x
  2. Step 2: Convert to fraction form
    77,104.86/115,578.51 = 43,754.50/x
  3. Step 3: Cross multiply
    77,104.86x = 115,578.51 × 43,754.50
  4. Step 4: Simplify right side
    77,104.86x = 5,057,079,915.80
  5. Step 5: Solve for x
    x = 5,057,079,915.80/77,104.86
  6. Step 6: Final answer
    x = 65,587.04

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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.