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Finding the Fourth Proportional to 77,073.75, 115,633.94 and 54,627.84

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Solution

The fourth proportional to 77,073.75, 115,633.94 and 54,627.84 is: 81,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073.75 : 115,633.94 = 54,627.84 : x
  2. Step 2: Convert to fraction form
    77,073.75/115,633.94 = 54,627.84/x
  3. Step 3: Cross multiply
    77,073.75x = 115,633.94 × 54,627.84
  4. Step 4: Simplify right side
    77,073.75x = 6,316,832,099.75
  5. Step 5: Solve for x
    x = 6,316,832,099.75/77,073.75
  6. Step 6: Final answer
    x = 81,958.28

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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.