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Finding the Fourth Proportional to 189,436.80, 284,462.40 and 137,212.80

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Solution

The fourth proportional to 189,436.80, 284,462.40 and 137,212.80 is: 206,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,436.80 : 284,462.40 = 137,212.80 : x
  2. Step 2: Convert to fraction form
    189,436.80/284,462.40 = 137,212.80/x
  3. Step 3: Cross multiply
    189,436.80x = 284,462.40 × 137,212.80
  4. Step 4: Simplify right side
    189,436.80x = 39,031,882,398.72
  5. Step 5: Solve for x
    x = 39,031,882,398.72/189,436.80
  6. Step 6: Final answer
    x = 206,041.71

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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.