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Finding the Fourth Proportional to 189,371.76, 284,115.32 and 113,554.52

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Solution

The fourth proportional to 189,371.76, 284,115.32 and 113,554.52 is: 170,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,371.76 : 284,115.32 = 113,554.52 : x
  2. Step 2: Convert to fraction form
    189,371.76/284,115.32 = 113,554.52/x
  3. Step 3: Cross multiply
    189,371.76x = 284,115.32 × 113,554.52
  4. Step 4: Simplify right side
    189,371.76x = 32,262,578,787.25
  5. Step 5: Solve for x
    x = 32,262,578,787.25/189,371.76
  6. Step 6: Final answer
    x = 170,366.37

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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.