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Finding the Fourth Proportional to 77,989.80, 117,003.60 and 22,585.80

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Solution

The fourth proportional to 77,989.80, 117,003.60 and 22,585.80 is: 33,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,989.80 : 117,003.60 = 22,585.80 : x
  2. Step 2: Convert to fraction form
    77,989.80/117,003.60 = 22,585.80/x
  3. Step 3: Cross multiply
    77,989.80x = 117,003.60 × 22,585.80
  4. Step 4: Simplify right side
    77,989.80x = 2,642,619,908.88
  5. Step 5: Solve for x
    x = 2,642,619,908.88/77,989.80
  6. Step 6: Final answer
    x = 33,884.17

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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.