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Finding the Fourth Proportional to 188,424.45, 282,199.28 and 128,938.05

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Solution

The fourth proportional to 188,424.45, 282,199.28 and 128,938.05 is: 193,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,424.45 : 282,199.28 = 128,938.05 : x
  2. Step 2: Convert to fraction form
    188,424.45/282,199.28 = 128,938.05/x
  3. Step 3: Cross multiply
    188,424.45x = 282,199.28 × 128,938.05
  4. Step 4: Simplify right side
    188,424.45x = 36,386,224,229.91
  5. Step 5: Solve for x
    x = 36,386,224,229.91/188,424.45
  6. Step 6: Final answer
    x = 193,107.76

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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.