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Finding the Fourth Proportional to 76,344, 114,518.16 and 20,940

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Solution

The fourth proportional to 76,344, 114,518.16 and 20,940 is: 31,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,344 : 114,518.16 = 20,940 : x
  2. Step 2: Convert to fraction form
    76,344/114,518.16 = 20,940/x
  3. Step 3: Cross multiply
    76,344x = 114,518.16 × 20,940
  4. Step 4: Simplify right side
    76,344x = 2,398,010,270.40
  5. Step 5: Solve for x
    x = 2,398,010,270.40/76,344
  6. Step 6: Final answer
    x = 31,410.59

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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.