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Finding the Fourth Proportional to 101,940, 140,677.20 and 57,228

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Solution

The fourth proportional to 101,940, 140,677.20 and 57,228 is: 78,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,940 : 140,677.20 = 57,228 : x
  2. Step 2: Convert to fraction form
    101,940/140,677.20 = 57,228/x
  3. Step 3: Cross multiply
    101,940x = 140,677.20 × 57,228
  4. Step 4: Simplify right side
    101,940x = 8,050,674,801.60
  5. Step 5: Solve for x
    x = 8,050,674,801.60/101,940
  6. Step 6: Final answer
    x = 78,974.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.