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Finding the Fourth Proportional to 80,235, 120,355.29 and 38,093.40

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Solution

The fourth proportional to 80,235, 120,355.29 and 38,093.40 is: 57,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,235 : 120,355.29 = 38,093.40 : x
  2. Step 2: Convert to fraction form
    80,235/120,355.29 = 38,093.40/x
  3. Step 3: Cross multiply
    80,235x = 120,355.29 × 38,093.40
  4. Step 4: Simplify right side
    80,235x = 4,584,742,204.09
  5. Step 5: Solve for x
    x = 4,584,742,204.09/80,235
  6. Step 6: Final answer
    x = 57,141.42

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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.