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Finding the Fourth Proportional to 208,758.08, 312,743.44 and 161,781.32

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Solution

The fourth proportional to 208,758.08, 312,743.44 and 161,781.32 is: 242,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,758.08 : 312,743.44 = 161,781.32 : x
  2. Step 2: Convert to fraction form
    208,758.08/312,743.44 = 161,781.32/x
  3. Step 3: Cross multiply
    208,758.08x = 312,743.44 × 161,781.32
  4. Step 4: Simplify right side
    208,758.08x = 50,596,046,544.54
  5. Step 5: Solve for x
    x = 50,596,046,544.54/208,758.08
  6. Step 6: Final answer
    x = 242,366.89

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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.