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Finding the Fourth Proportional to 276,720, 415,080.24 and 99,238.08

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Solution

The fourth proportional to 276,720, 415,080.24 and 99,238.08 is: 148,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,720 : 415,080.24 = 99,238.08 : x
  2. Step 2: Convert to fraction form
    276,720/415,080.24 = 99,238.08/x
  3. Step 3: Cross multiply
    276,720x = 415,080.24 × 99,238.08
  4. Step 4: Simplify right side
    276,720x = 41,191,766,063.54
  5. Step 5: Solve for x
    x = 41,191,766,063.54/276,720
  6. Step 6: Final answer
    x = 148,857.21

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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.