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Finding the Fourth Proportional to 78,561.78, 117,843.76 and 22,401.89

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Solution

The fourth proportional to 78,561.78, 117,843.76 and 22,401.89 is: 33,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,561.78 : 117,843.76 = 22,401.89 : x
  2. Step 2: Convert to fraction form
    78,561.78/117,843.76 = 22,401.89/x
  3. Step 3: Cross multiply
    78,561.78x = 117,843.76 × 22,401.89
  4. Step 4: Simplify right side
    78,561.78x = 2,639,922,829.40
  5. Step 5: Solve for x
    x = 2,639,922,829.40/78,561.78
  6. Step 6: Final answer
    x = 33,603.15

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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.