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Finding the Fourth Proportional to 189,712.67, 261,925.52 and 121,758.93

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Solution

The fourth proportional to 189,712.67, 261,925.52 and 121,758.93 is: 168,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,712.67 : 261,925.52 = 121,758.93 : x
  2. Step 2: Convert to fraction form
    189,712.67/261,925.52 = 121,758.93/x
  3. Step 3: Cross multiply
    189,712.67x = 261,925.52 × 121,758.93
  4. Step 4: Simplify right side
    189,712.67x = 31,891,770,446.10
  5. Step 5: Solve for x
    x = 31,891,770,446.10/189,712.67
  6. Step 6: Final answer
    x = 168,105.65

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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.