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Finding the Fourth Proportional to 126,143.64, 189,252 and 37,398.84

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Solution

The fourth proportional to 126,143.64, 189,252 and 37,398.84 is: 56,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,143.64 : 189,252 = 37,398.84 : x
  2. Step 2: Convert to fraction form
    126,143.64/189,252 = 37,398.84/x
  3. Step 3: Cross multiply
    126,143.64x = 189,252 × 37,398.84
  4. Step 4: Simplify right side
    126,143.64x = 7,077,805,267.68
  5. Step 5: Solve for x
    x = 7,077,805,267.68/126,143.64
  6. Step 6: Final answer
    x = 56,109.09

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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.