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Finding the Fourth Proportional to 82,857.42, 114,306.84 and 55,990.14

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Solution

The fourth proportional to 82,857.42, 114,306.84 and 55,990.14 is: 77,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,857.42 : 114,306.84 = 55,990.14 : x
  2. Step 2: Convert to fraction form
    82,857.42/114,306.84 = 55,990.14/x
  3. Step 3: Cross multiply
    82,857.42x = 114,306.84 × 55,990.14
  4. Step 4: Simplify right side
    82,857.42x = 6,400,055,974.56
  5. Step 5: Solve for x
    x = 6,400,055,974.56/82,857.42
  6. Step 6: Final answer
    x = 77,241.80

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1.5x scale

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.