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Finding the Fourth Proportional to 98,418.64, 135,825.24 and 55,974.64

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Solution

The fourth proportional to 98,418.64, 135,825.24 and 55,974.64 is: 77,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,418.64 : 135,825.24 = 55,974.64 : x
  2. Step 2: Convert to fraction form
    98,418.64/135,825.24 = 55,974.64/x
  3. Step 3: Cross multiply
    98,418.64x = 135,825.24 × 55,974.64
  4. Step 4: Simplify right side
    98,418.64x = 7,602,768,911.91
  5. Step 5: Solve for x
    x = 7,602,768,911.91/98,418.64
  6. Step 6: Final answer
    x = 77,249.28

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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.