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Finding the Fourth Proportional to 188,280, 282,536.72 and 109,431.36

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Solution

The fourth proportional to 188,280, 282,536.72 and 109,431.36 is: 164,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,280 : 282,536.72 = 109,431.36 : x
  2. Step 2: Convert to fraction form
    188,280/282,536.72 = 109,431.36/x
  3. Step 3: Cross multiply
    188,280x = 282,536.72 × 109,431.36
  4. Step 4: Simplify right side
    188,280x = 30,918,377,519.54
  5. Step 5: Solve for x
    x = 30,918,377,519.54/188,280
  6. Step 6: Final answer
    x = 164,214.88

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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.