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Finding the Fourth Proportional to 201,251.04, 301,939.76 and 82,978.08

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Solution

The fourth proportional to 201,251.04, 301,939.76 and 82,978.08 is: 124,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,251.04 : 301,939.76 = 82,978.08 : x
  2. Step 2: Convert to fraction form
    201,251.04/301,939.76 = 82,978.08/x
  3. Step 3: Cross multiply
    201,251.04x = 301,939.76 × 82,978.08
  4. Step 4: Simplify right side
    201,251.04x = 25,054,381,560.46
  5. Step 5: Solve for x
    x = 25,054,381,560.46/201,251.04
  6. Step 6: Final answer
    x = 124,493.18

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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.