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Finding the Fourth Proportional to 128,758, 192,911.79 and 89,340.16

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Solution

The fourth proportional to 128,758, 192,911.79 and 89,340.16 is: 133,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,758 : 192,911.79 = 89,340.16 : x
  2. Step 2: Convert to fraction form
    128,758/192,911.79 = 89,340.16/x
  3. Step 3: Cross multiply
    128,758x = 192,911.79 × 89,340.16
  4. Step 4: Simplify right side
    128,758x = 17,234,770,184.49
  5. Step 5: Solve for x
    x = 17,234,770,184.49/128,758
  6. Step 6: Final answer
    x = 133,853.98

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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.