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Finding the Fourth Proportional to 98,115.52, 135,418.08 and 55,678

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Solution

The fourth proportional to 98,115.52, 135,418.08 and 55,678 is: 76,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,115.52 : 135,418.08 = 55,678 : x
  2. Step 2: Convert to fraction form
    98,115.52/135,418.08 = 55,678/x
  3. Step 3: Cross multiply
    98,115.52x = 135,418.08 × 55,678
  4. Step 4: Simplify right side
    98,115.52x = 7,539,807,858.24
  5. Step 5: Solve for x
    x = 7,539,807,858.24/98,115.52
  6. Step 6: Final answer
    x = 76,846.23

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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.