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Finding the Fourth Proportional to 189,853.86, 284,738.57 and 54,888.45

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Solution

The fourth proportional to 189,853.86, 284,738.57 and 54,888.45 is: 82,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,853.86 : 284,738.57 = 54,888.45 : x
  2. Step 2: Convert to fraction form
    189,853.86/284,738.57 = 54,888.45/x
  3. Step 3: Cross multiply
    189,853.86x = 284,738.57 × 54,888.45
  4. Step 4: Simplify right side
    189,853.86x = 15,628,858,762.52
  5. Step 5: Solve for x
    x = 15,628,858,762.52/189,853.86
  6. Step 6: Final answer
    x = 82,320.47

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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.