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Finding the Fourth Proportional to 189,782.49, 284,673.79 and 49,541.12

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Solution

The fourth proportional to 189,782.49, 284,673.79 and 49,541.12 is: 74,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,782.49 : 284,673.79 = 49,541.12 : x
  2. Step 2: Convert to fraction form
    189,782.49/284,673.79 = 49,541.12/x
  3. Step 3: Cross multiply
    189,782.49x = 284,673.79 × 49,541.12
  4. Step 4: Simplify right side
    189,782.49x = 14,103,058,097.33
  5. Step 5: Solve for x
    x = 14,103,058,097.33/189,782.49
  6. Step 6: Final answer
    x = 74,311.69

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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.