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Finding the Fourth Proportional to 136,198.90, 187,902.90 and 84,492.10

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Solution

The fourth proportional to 136,198.90, 187,902.90 and 84,492.10 is: 116,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,198.90 : 187,902.90 = 84,492.10 : x
  2. Step 2: Convert to fraction form
    136,198.90/187,902.90 = 84,492.10/x
  3. Step 3: Cross multiply
    136,198.90x = 187,902.90 × 84,492.10
  4. Step 4: Simplify right side
    136,198.90x = 15,876,310,617.09
  5. Step 5: Solve for x
    x = 15,876,310,617.09/136,198.90
  6. Step 6: Final answer
    x = 116,567.10

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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.