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Finding the Fourth Proportional to 253,340.89, 380,142.65 and 111,286.06

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Solution

The fourth proportional to 253,340.89, 380,142.65 and 111,286.06 is: 166,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,340.89 : 380,142.65 = 111,286.06 : x
  2. Step 2: Convert to fraction form
    253,340.89/380,142.65 = 111,286.06/x
  3. Step 3: Cross multiply
    253,340.89x = 380,142.65 × 111,286.06
  4. Step 4: Simplify right side
    253,340.89x = 42,304,577,756.46
  5. Step 5: Solve for x
    x = 42,304,577,756.46/253,340.89
  6. Step 6: Final answer
    x = 166,986.77

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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.