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Finding the Fourth Proportional to 78,231.56, 117,400.80 and 43,195.82

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Solution

The fourth proportional to 78,231.56, 117,400.80 and 43,195.82 is: 64,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,231.56 : 117,400.80 = 43,195.82 : x
  2. Step 2: Convert to fraction form
    78,231.56/117,400.80 = 43,195.82/x
  3. Step 3: Cross multiply
    78,231.56x = 117,400.80 × 43,195.82
  4. Step 4: Simplify right side
    78,231.56x = 5,071,223,824.66
  5. Step 5: Solve for x
    x = 5,071,223,824.66/78,231.56
  6. Step 6: Final answer
    x = 64,823.25

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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.