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Finding the Fourth Proportional to 126,253.44, 189,341.28 and 43,128

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Solution

The fourth proportional to 126,253.44, 189,341.28 and 43,128 is: 64,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,253.44 : 189,341.28 = 43,128 : x
  2. Step 2: Convert to fraction form
    126,253.44/189,341.28 = 43,128/x
  3. Step 3: Cross multiply
    126,253.44x = 189,341.28 × 43,128
  4. Step 4: Simplify right side
    126,253.44x = 8,165,910,723.84
  5. Step 5: Solve for x
    x = 8,165,910,723.84/126,253.44
  6. Step 6: Final answer
    x = 64,678.72

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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.