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Finding the Fourth Proportional to 192,617.04, 265,813.20 and 107,742

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Solution

The fourth proportional to 192,617.04, 265,813.20 and 107,742 is: 148,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,617.04 : 265,813.20 = 107,742 : x
  2. Step 2: Convert to fraction form
    192,617.04/265,813.20 = 107,742/x
  3. Step 3: Cross multiply
    192,617.04x = 265,813.20 × 107,742
  4. Step 4: Simplify right side
    192,617.04x = 28,639,245,794.40
  5. Step 5: Solve for x
    x = 28,639,245,794.40/192,617.04
  6. Step 6: Final answer
    x = 148,684.90

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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.