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Finding the Fourth Proportional to 83,784.99, 115,740.77 and 76,217.97

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Solution

The fourth proportional to 83,784.99, 115,740.77 and 76,217.97 is: 105,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,784.99 : 115,740.77 = 76,217.97 : x
  2. Step 2: Convert to fraction form
    83,784.99/115,740.77 = 76,217.97/x
  3. Step 3: Cross multiply
    83,784.99x = 115,740.77 × 76,217.97
  4. Step 4: Simplify right side
    83,784.99x = 8,821,526,726.18
  5. Step 5: Solve for x
    x = 8,821,526,726.18/83,784.99
  6. Step 6: Final answer
    x = 105,287.67

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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.