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Finding the Fourth Proportional to 78,556.86, 117,839.10 and 22,400.87

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Solution

The fourth proportional to 78,556.86, 117,839.10 and 22,400.87 is: 33,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,556.86 : 117,839.10 = 22,400.87 : x
  2. Step 2: Convert to fraction form
    78,556.86/117,839.10 = 22,400.87/x
  3. Step 3: Cross multiply
    78,556.86x = 117,839.10 × 22,400.87
  4. Step 4: Simplify right side
    78,556.86x = 2,639,697,770.82
  5. Step 5: Solve for x
    x = 2,639,697,770.82/78,556.86
  6. Step 6: Final answer
    x = 33,602.38

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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.