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Finding the Fourth Proportional to 68,050.88, 102,079.20 and 33,020

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Solution

The fourth proportional to 68,050.88, 102,079.20 and 33,020 is: 49,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,050.88 : 102,079.20 = 33,020 : x
  2. Step 2: Convert to fraction form
    68,050.88/102,079.20 = 33,020/x
  3. Step 3: Cross multiply
    68,050.88x = 102,079.20 × 33,020
  4. Step 4: Simplify right side
    68,050.88x = 3,370,655,184
  5. Step 5: Solve for x
    x = 3,370,655,184/68,050.88
  6. Step 6: Final answer
    x = 49,531.40

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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.