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Finding the Fourth Proportional to 77,121.64, 115,631.34 and 43,857.40

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Solution

The fourth proportional to 77,121.64, 115,631.34 and 43,857.40 is: 65,757.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,121.64 : 115,631.34 = 43,857.40 : x
  2. Step 2: Convert to fraction form
    77,121.64/115,631.34 = 43,857.40/x
  3. Step 3: Cross multiply
    77,121.64x = 115,631.34 × 43,857.40
  4. Step 4: Simplify right side
    77,121.64x = 5,071,289,930.92
  5. Step 5: Solve for x
    x = 5,071,289,930.92/77,121.64
  6. Step 6: Final answer
    x = 65,757.03

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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.