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Finding the Fourth Proportional to 167,505.54, 251,053.92 and 78,640.44

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Solution

The fourth proportional to 167,505.54, 251,053.92 and 78,640.44 is: 117,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,505.54 : 251,053.92 = 78,640.44 : x
  2. Step 2: Convert to fraction form
    167,505.54/251,053.92 = 78,640.44/x
  3. Step 3: Cross multiply
    167,505.54x = 251,053.92 × 78,640.44
  4. Step 4: Simplify right side
    167,505.54x = 19,742,990,732.52
  5. Step 5: Solve for x
    x = 19,742,990,732.52/167,505.54
  6. Step 6: Final answer
    x = 117,864.70

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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.