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Finding the Fourth Proportional to 192,775.60, 289,206.60 and 74,436.40

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Solution

The fourth proportional to 192,775.60, 289,206.60 and 74,436.40 is: 111,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,775.60 : 289,206.60 = 74,436.40 : x
  2. Step 2: Convert to fraction form
    192,775.60/289,206.60 = 74,436.40/x
  3. Step 3: Cross multiply
    192,775.60x = 289,206.60 × 74,436.40
  4. Step 4: Simplify right side
    192,775.60x = 21,527,498,160.24
  5. Step 5: Solve for x
    x = 21,527,498,160.24/192,775.60
  6. Step 6: Final answer
    x = 111,671.28

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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.