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Finding the Fourth Proportional to 78,553.45, 108,530.74 and 54,786.22

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Solution

The fourth proportional to 78,553.45, 108,530.74 and 54,786.22 is: 75,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,553.45 : 108,530.74 = 54,786.22 : x
  2. Step 2: Convert to fraction form
    78,553.45/108,530.74 = 54,786.22/x
  3. Step 3: Cross multiply
    78,553.45x = 108,530.74 × 54,786.22
  4. Step 4: Simplify right side
    78,553.45x = 5,945,989,097.87
  5. Step 5: Solve for x
    x = 5,945,989,097.87/78,553.45
  6. Step 6: Final answer
    x = 75,693.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.