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Finding the Fourth Proportional to 253,660.12, 380,548.49 and 76,170.49

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Solution

The fourth proportional to 253,660.12, 380,548.49 and 76,170.49 is: 114,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,660.12 : 380,548.49 = 76,170.49 : x
  2. Step 2: Convert to fraction form
    253,660.12/380,548.49 = 76,170.49/x
  3. Step 3: Cross multiply
    253,660.12x = 380,548.49 × 76,170.49
  4. Step 4: Simplify right side
    253,660.12x = 28,986,564,952.06
  5. Step 5: Solve for x
    x = 28,986,564,952.06/253,660.12
  6. Step 6: Final answer
    x = 114,273.24

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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.