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Finding the Fourth Proportional to 128,046.20, 192,069.30 and 34,551.80

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Solution

The fourth proportional to 128,046.20, 192,069.30 and 34,551.80 is: 51,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,046.20 : 192,069.30 = 34,551.80 : x
  2. Step 2: Convert to fraction form
    128,046.20/192,069.30 = 34,551.80/x
  3. Step 3: Cross multiply
    128,046.20x = 192,069.30 × 34,551.80
  4. Step 4: Simplify right side
    128,046.20x = 6,636,340,039.74
  5. Step 5: Solve for x
    x = 6,636,340,039.74/128,046.20
  6. Step 6: Final answer
    x = 51,827.70

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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.