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Finding the Fourth Proportional to 201,576.88, 278,118.38 and 129,998

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Solution

The fourth proportional to 201,576.88, 278,118.38 and 129,998 is: 179,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,576.88 : 278,118.38 = 129,998 : x
  2. Step 2: Convert to fraction form
    201,576.88/278,118.38 = 129,998/x
  3. Step 3: Cross multiply
    201,576.88x = 278,118.38 × 129,998
  4. Step 4: Simplify right side
    201,576.88x = 36,154,833,163.24
  5. Step 5: Solve for x
    x = 36,154,833,163.24/201,576.88
  6. Step 6: Final answer
    x = 179,360.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.