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Finding the Fourth Proportional to 208,722, 288,036.36 and 119,299.92

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Solution

The fourth proportional to 208,722, 288,036.36 and 119,299.92 is: 164,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,722 : 288,036.36 = 119,299.92 : x
  2. Step 2: Convert to fraction form
    208,722/288,036.36 = 119,299.92/x
  3. Step 3: Cross multiply
    208,722x = 288,036.36 × 119,299.92
  4. Step 4: Simplify right side
    208,722x = 34,362,714,705.09
  5. Step 5: Solve for x
    x = 34,362,714,705.09/208,722
  6. Step 6: Final answer
    x = 164,633.89

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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.