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Finding the Fourth Proportional to 77,064.78, 115,604.86 and 20,905.80

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Solution

The fourth proportional to 77,064.78, 115,604.86 and 20,905.80 is: 31,360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,064.78 : 115,604.86 = 20,905.80 : x
  2. Step 2: Convert to fraction form
    77,064.78/115,604.86 = 20,905.80/x
  3. Step 3: Cross multiply
    77,064.78x = 115,604.86 × 20,905.80
  4. Step 4: Simplify right side
    77,064.78x = 2,416,812,082.19
  5. Step 5: Solve for x
    x = 2,416,812,082.19/77,064.78
  6. Step 6: Final answer
    x = 31,360.79

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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.