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Finding the Fourth Proportional to 252,286.02, 378,427.98 and 83,818.98

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Solution

The fourth proportional to 252,286.02, 378,427.98 and 83,818.98 is: 125,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,286.02 : 378,427.98 = 83,818.98 : x
  2. Step 2: Convert to fraction form
    252,286.02/378,427.98 = 83,818.98/x
  3. Step 3: Cross multiply
    252,286.02x = 378,427.98 × 83,818.98
  4. Step 4: Simplify right side
    252,286.02x = 31,719,447,287.06
  5. Step 5: Solve for x
    x = 31,719,447,287.06/252,286.02
  6. Step 6: Final answer
    x = 125,728.12

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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.