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Finding the Fourth Proportional to 98,884, 136,460 and 54,172

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Solution

The fourth proportional to 98,884, 136,460 and 54,172 is: 74,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,884 : 136,460 = 54,172 : x
  2. Step 2: Convert to fraction form
    98,884/136,460 = 54,172/x
  3. Step 3: Cross multiply
    98,884x = 136,460 × 54,172
  4. Step 4: Simplify right side
    98,884x = 7,392,311,120
  5. Step 5: Solve for x
    x = 7,392,311,120/98,884
  6. Step 6: Final answer
    x = 74,757.40

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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.