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Finding the Fourth Proportional to 189,955.92, 262,153.41 and 108,286.12

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Solution

The fourth proportional to 189,955.92, 262,153.41 and 108,286.12 is: 149,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,955.92 : 262,153.41 = 108,286.12 : x
  2. Step 2: Convert to fraction form
    189,955.92/262,153.41 = 108,286.12/x
  3. Step 3: Cross multiply
    189,955.92x = 262,153.41 × 108,286.12
  4. Step 4: Simplify right side
    189,955.92x = 28,387,575,613.67
  5. Step 5: Solve for x
    x = 28,387,575,613.67/189,955.92
  6. Step 6: Final answer
    x = 149,442.96

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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.