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Finding the Fourth Proportional to 234,189.92, 323,188.39 and 142,277.91

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Solution

The fourth proportional to 234,189.92, 323,188.39 and 142,277.91 is: 196,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,189.92 : 323,188.39 = 142,277.91 : x
  2. Step 2: Convert to fraction form
    234,189.92/323,188.39 = 142,277.91/x
  3. Step 3: Cross multiply
    234,189.92x = 323,188.39 × 142,277.91
  4. Step 4: Simplify right side
    234,189.92x = 45,982,570,358.26
  5. Step 5: Solve for x
    x = 45,982,570,358.26/234,189.92
  6. Step 6: Final answer
    x = 196,347.35

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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.