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Finding the Fourth Proportional to 231,412.92, 346,723.12 and 126,305.64

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Solution

The fourth proportional to 231,412.92, 346,723.12 and 126,305.64 is: 189,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,412.92 : 346,723.12 = 126,305.64 : x
  2. Step 2: Convert to fraction form
    231,412.92/346,723.12 = 126,305.64/x
  3. Step 3: Cross multiply
    231,412.92x = 346,723.12 × 126,305.64
  4. Step 4: Simplify right side
    231,412.92x = 43,793,085,574.40
  5. Step 5: Solve for x
    x = 43,793,085,574.40/231,412.92
  6. Step 6: Final answer
    x = 189,242.18

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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.