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Finding the Fourth Proportional to 84,781.80, 126,978.30 and 82,837.80

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Solution

The fourth proportional to 84,781.80, 126,978.30 and 82,837.80 is: 124,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,781.80 : 126,978.30 = 82,837.80 : x
  2. Step 2: Convert to fraction form
    84,781.80/126,978.30 = 82,837.80/x
  3. Step 3: Cross multiply
    84,781.80x = 126,978.30 × 82,837.80
  4. Step 4: Simplify right side
    84,781.80x = 10,518,603,019.74
  5. Step 5: Solve for x
    x = 10,518,603,019.74/84,781.80
  6. Step 6: Final answer
    x = 124,066.76

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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.