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Finding the Fourth Proportional to 199,541.81, 275,479.56 and 138,376.88

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Solution

The fourth proportional to 199,541.81, 275,479.56 and 138,376.88 is: 191,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,541.81 : 275,479.56 = 138,376.88 : x
  2. Step 2: Convert to fraction form
    199,541.81/275,479.56 = 138,376.88/x
  3. Step 3: Cross multiply
    199,541.81x = 275,479.56 × 138,376.88
  4. Step 4: Simplify right side
    199,541.81x = 38,120,002,016.57
  5. Step 5: Solve for x
    x = 38,120,002,016.57/199,541.81
  6. Step 6: Final answer
    x = 191,037.67

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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.