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Finding the Fourth Proportional to 189,551.40, 284,404.42 and 122,118.66

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Solution

The fourth proportional to 189,551.40, 284,404.42 and 122,118.66 is: 183,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,551.40 : 284,404.42 = 122,118.66 : x
  2. Step 2: Convert to fraction form
    189,551.40/284,404.42 = 122,118.66/x
  3. Step 3: Cross multiply
    189,551.40x = 284,404.42 × 122,118.66
  4. Step 4: Simplify right side
    189,551.40x = 34,731,086,668.48
  5. Step 5: Solve for x
    x = 34,731,086,668.48/189,551.40
  6. Step 6: Final answer
    x = 183,227.80

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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.