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Finding the Fourth Proportional to 77,104.36, 115,577.76 and 43,754

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Solution

The fourth proportional to 77,104.36, 115,577.76 and 43,754 is: 65,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,104.36 : 115,577.76 = 43,754 : x
  2. Step 2: Convert to fraction form
    77,104.36/115,577.76 = 43,754/x
  3. Step 3: Cross multiply
    77,104.36x = 115,577.76 × 43,754
  4. Step 4: Simplify right side
    77,104.36x = 5,056,989,311.04
  5. Step 5: Solve for x
    x = 5,056,989,311.04/77,104.36
  6. Step 6: Final answer
    x = 65,586.30

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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.