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Finding the Fourth Proportional to 111,942.92, 154,492.12 and 83,599.40

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Solution

The fourth proportional to 111,942.92, 154,492.12 and 83,599.40 is: 115,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,942.92 : 154,492.12 = 83,599.40 : x
  2. Step 2: Convert to fraction form
    111,942.92/154,492.12 = 83,599.40/x
  3. Step 3: Cross multiply
    111,942.92x = 154,492.12 × 83,599.40
  4. Step 4: Simplify right side
    111,942.92x = 12,915,448,536.73
  5. Step 5: Solve for x
    x = 12,915,448,536.73/111,942.92
  6. Step 6: Final answer
    x = 115,375.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.