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Finding the Fourth Proportional to 189,903.71, 284,954.58 and 137,743.76

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Solution

The fourth proportional to 189,903.71, 284,954.58 and 137,743.76 is: 206,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,903.71 : 284,954.58 = 137,743.76 : x
  2. Step 2: Convert to fraction form
    189,903.71/284,954.58 = 137,743.76/x
  3. Step 3: Cross multiply
    189,903.71x = 284,954.58 × 137,743.76
  4. Step 4: Simplify right side
    189,903.71x = 39,250,713,853.65
  5. Step 5: Solve for x
    x = 39,250,713,853.65/189,903.71
  6. Step 6: Final answer
    x = 206,687.46

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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.