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Finding the Fourth Proportional to 136,781.80, 204,705.90 and 114,620.20

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Solution

The fourth proportional to 136,781.80, 204,705.90 and 114,620.20 is: 171,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,781.80 : 204,705.90 = 114,620.20 : x
  2. Step 2: Convert to fraction form
    136,781.80/204,705.90 = 114,620.20/x
  3. Step 3: Cross multiply
    136,781.80x = 204,705.90 × 114,620.20
  4. Step 4: Simplify right side
    136,781.80x = 23,463,431,199.18
  5. Step 5: Solve for x
    x = 23,463,431,199.18/136,781.80
  6. Step 6: Final answer
    x = 171,539.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.