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Finding the Fourth Proportional to 78,559.34, 117,839.25 and 19,395.01

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Solution

The fourth proportional to 78,559.34, 117,839.25 and 19,395.01 is: 29,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,559.34 : 117,839.25 = 19,395.01 : x
  2. Step 2: Convert to fraction form
    78,559.34/117,839.25 = 19,395.01/x
  3. Step 3: Cross multiply
    78,559.34x = 117,839.25 × 19,395.01
  4. Step 4: Simplify right side
    78,559.34x = 2,285,493,335.17
  5. Step 5: Solve for x
    x = 2,285,493,335.17/78,559.34
  6. Step 6: Final answer
    x = 29,092.57

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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.