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Finding the Fourth Proportional to 126,642.96, 189,973.44 and 37,889.28

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Solution

The fourth proportional to 126,642.96, 189,973.44 and 37,889.28 is: 56,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,642.96 : 189,973.44 = 37,889.28 : x
  2. Step 2: Convert to fraction form
    126,642.96/189,973.44 = 37,889.28/x
  3. Step 3: Cross multiply
    126,642.96x = 189,973.44 × 37,889.28
  4. Step 4: Simplify right side
    126,642.96x = 7,197,956,860.72
  5. Step 5: Solve for x
    x = 7,197,956,860.72/126,642.96
  6. Step 6: Final answer
    x = 56,836.61

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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.