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Finding the Fourth Proportional to 80,743.50, 121,028.40 and 77,017.41

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Solution

The fourth proportional to 80,743.50, 121,028.40 and 77,017.41 is: 115,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,743.50 : 121,028.40 = 77,017.41 : x
  2. Step 2: Convert to fraction form
    80,743.50/121,028.40 = 77,017.41/x
  3. Step 3: Cross multiply
    80,743.50x = 121,028.40 × 77,017.41
  4. Step 4: Simplify right side
    80,743.50x = 9,321,293,904.44
  5. Step 5: Solve for x
    x = 9,321,293,904.44/80,743.50
  6. Step 6: Final answer
    x = 115,443.27

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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.