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Finding the Fourth Proportional to 113,281.77, 169,910.94 and 38,400

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Solution

The fourth proportional to 113,281.77, 169,910.94 and 38,400 is: 57,596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,281.77 : 169,910.94 = 38,400 : x
  2. Step 2: Convert to fraction form
    113,281.77/169,910.94 = 38,400/x
  3. Step 3: Cross multiply
    113,281.77x = 169,910.94 × 38,400
  4. Step 4: Simplify right side
    113,281.77x = 6,524,580,096
  5. Step 5: Solve for x
    x = 6,524,580,096/113,281.77
  6. Step 6: Final answer
    x = 57,596.03

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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.