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Finding the Fourth Proportional to 189,456.56, 284,178.32 and 49,216.40

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Solution

The fourth proportional to 189,456.56, 284,178.32 and 49,216.40 is: 73,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,456.56 : 284,178.32 = 49,216.40 : x
  2. Step 2: Convert to fraction form
    189,456.56/284,178.32 = 49,216.40/x
  3. Step 3: Cross multiply
    189,456.56x = 284,178.32 × 49,216.40
  4. Step 4: Simplify right side
    189,456.56x = 13,986,233,868.45
  5. Step 5: Solve for x
    x = 13,986,233,868.45/189,456.56
  6. Step 6: Final answer
    x = 73,822.91

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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.