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Finding the Fourth Proportional to 189,774.40, 284,619.68 and 54,809.12

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Solution

The fourth proportional to 189,774.40, 284,619.68 and 54,809.12 is: 82,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,774.40 : 284,619.68 = 54,809.12 : x
  2. Step 2: Convert to fraction form
    189,774.40/284,619.68 = 54,809.12/x
  3. Step 3: Cross multiply
    189,774.40x = 284,619.68 × 54,809.12
  4. Step 4: Simplify right side
    189,774.40x = 15,599,754,195.48
  5. Step 5: Solve for x
    x = 15,599,754,195.48/189,774.40
  6. Step 6: Final answer
    x = 82,201.57

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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.