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Finding the Fourth Proportional to 73,775, 101,809.60 and 40,241

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Solution

The fourth proportional to 73,775, 101,809.60 and 40,241 is: 55,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,775 : 101,809.60 = 40,241 : x
  2. Step 2: Convert to fraction form
    73,775/101,809.60 = 40,241/x
  3. Step 3: Cross multiply
    73,775x = 101,809.60 × 40,241
  4. Step 4: Simplify right side
    73,775x = 4,096,920,113.60
  5. Step 5: Solve for x
    x = 4,096,920,113.60/73,775
  6. Step 6: Final answer
    x = 55,532.63

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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.