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Finding the Fourth Proportional to 189,695.70, 261,834.60 and 125,212

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Solution

The fourth proportional to 189,695.70, 261,834.60 and 125,212 is: 172,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,695.70 : 261,834.60 = 125,212 : x
  2. Step 2: Convert to fraction form
    189,695.70/261,834.60 = 125,212/x
  3. Step 3: Cross multiply
    189,695.70x = 261,834.60 × 125,212
  4. Step 4: Simplify right side
    189,695.70x = 32,784,833,935.20
  5. Step 5: Solve for x
    x = 32,784,833,935.20/189,695.70
  6. Step 6: Final answer
    x = 172,828.56

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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.