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Finding the Fourth Proportional to 189,205.80, 260,966.78 and 128,668.84

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Solution

The fourth proportional to 189,205.80, 260,966.78 and 128,668.84 is: 177,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,205.80 : 260,966.78 = 128,668.84 : x
  2. Step 2: Convert to fraction form
    189,205.80/260,966.78 = 128,668.84/x
  3. Step 3: Cross multiply
    189,205.80x = 260,966.78 × 128,668.84
  4. Step 4: Simplify right side
    189,205.80x = 33,578,292,861.14
  5. Step 5: Solve for x
    x = 33,578,292,861.14/189,205.80
  6. Step 6: Final answer
    x = 177,469.68

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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.