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Finding the Fourth Proportional to 78,561.70, 117,839.71 and 34,188.48

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Solution

The fourth proportional to 78,561.70, 117,839.71 and 34,188.48 is: 51,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,561.70 : 117,839.71 = 34,188.48 : x
  2. Step 2: Convert to fraction form
    78,561.70/117,839.71 = 34,188.48/x
  3. Step 3: Cross multiply
    78,561.70x = 117,839.71 × 34,188.48
  4. Step 4: Simplify right side
    78,561.70x = 4,028,760,611.28
  5. Step 5: Solve for x
    x = 4,028,760,611.28/78,561.70
  6. Step 6: Final answer
    x = 51,281.49

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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.