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Finding the Fourth Proportional to 83,805.77, 115,642.26 and 47,993.64

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Solution

The fourth proportional to 83,805.77, 115,642.26 and 47,993.64 is: 66,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,805.77 : 115,642.26 = 47,993.64 : x
  2. Step 2: Convert to fraction form
    83,805.77/115,642.26 = 47,993.64/x
  3. Step 3: Cross multiply
    83,805.77x = 115,642.26 × 47,993.64
  4. Step 4: Simplify right side
    83,805.77x = 5,550,092,995.23
  5. Step 5: Solve for x
    x = 5,550,092,995.23/83,805.77
  6. Step 6: Final answer
    x = 66,225.67

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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.