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Finding the Fourth Proportional to 202,812.70, 279,879.74 and 112,166.72

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Solution

The fourth proportional to 202,812.70, 279,879.74 and 112,166.72 is: 154,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,812.70 : 279,879.74 = 112,166.72 : x
  2. Step 2: Convert to fraction form
    202,812.70/279,879.74 = 112,166.72/x
  3. Step 3: Cross multiply
    202,812.70x = 279,879.74 × 112,166.72
  4. Step 4: Simplify right side
    202,812.70x = 31,393,192,430.25
  5. Step 5: Solve for x
    x = 31,393,192,430.25/202,812.70
  6. Step 6: Final answer
    x = 154,789.09

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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.