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Finding the Fourth Proportional to 181,896, 251,006.72 and 100,221.72

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Solution

The fourth proportional to 181,896, 251,006.72 and 100,221.72 is: 138,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,896 : 251,006.72 = 100,221.72 : x
  2. Step 2: Convert to fraction form
    181,896/251,006.72 = 100,221.72/x
  3. Step 3: Cross multiply
    181,896x = 251,006.72 × 100,221.72
  4. Step 4: Simplify right side
    181,896x = 25,156,325,209.96
  5. Step 5: Solve for x
    x = 25,156,325,209.96/181,896
  6. Step 6: Final answer
    x = 138,300.60

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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.