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Finding the Fourth Proportional to 98,018.52, 135,263.72 and 54,998.78

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Solution

The fourth proportional to 98,018.52, 135,263.72 and 54,998.78 is: 75,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,018.52 : 135,263.72 = 54,998.78 : x
  2. Step 2: Convert to fraction form
    98,018.52/135,263.72 = 54,998.78/x
  3. Step 3: Cross multiply
    98,018.52x = 135,263.72 × 54,998.78
  4. Step 4: Simplify right side
    98,018.52x = 7,439,339,578.26
  5. Step 5: Solve for x
    x = 7,439,339,578.26/98,018.52
  6. Step 6: Final answer
    x = 75,897.29

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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.