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Finding the Fourth Proportional to 204,651.52, 282,283.78 and 128,037.67

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Solution

The fourth proportional to 204,651.52, 282,283.78 and 128,037.67 is: 176,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,651.52 : 282,283.78 = 128,037.67 : x
  2. Step 2: Convert to fraction form
    204,651.52/282,283.78 = 128,037.67/x
  3. Step 3: Cross multiply
    204,651.52x = 282,283.78 × 128,037.67
  4. Step 4: Simplify right side
    204,651.52x = 36,142,957,469.99
  5. Step 5: Solve for x
    x = 36,142,957,469.99/204,651.52
  6. Step 6: Final answer
    x = 176,607.32

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1.5x scale

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.