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Finding the Fourth Proportional to 206,984.85, 310,597.74 and 87,033.12

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Solution

The fourth proportional to 206,984.85, 310,597.74 and 87,033.12 is: 130,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,984.85 : 310,597.74 = 87,033.12 : x
  2. Step 2: Convert to fraction form
    206,984.85/310,597.74 = 87,033.12/x
  3. Step 3: Cross multiply
    206,984.85x = 310,597.74 × 87,033.12
  4. Step 4: Simplify right side
    206,984.85x = 27,032,290,377.15
  5. Step 5: Solve for x
    x = 27,032,290,377.15/206,984.85
  6. Step 6: Final answer
    x = 130,600.33

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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.