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Finding the Fourth Proportional to 203,523.79, 280,879.61 and 112,908.93

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Solution

The fourth proportional to 203,523.79, 280,879.61 and 112,908.93 is: 155,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,523.79 : 280,879.61 = 112,908.93 : x
  2. Step 2: Convert to fraction form
    203,523.79/280,879.61 = 112,908.93/x
  3. Step 3: Cross multiply
    203,523.79x = 280,879.61 × 112,908.93
  4. Step 4: Simplify right side
    203,523.79x = 31,713,816,223.92
  5. Step 5: Solve for x
    x = 31,713,816,223.92/203,523.79
  6. Step 6: Final answer
    x = 155,823.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.