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Finding the Fourth Proportional to 151,174.60, 208,649.84 and 100,097.28

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Solution

The fourth proportional to 151,174.60, 208,649.84 and 100,097.28 is: 138,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,174.60 : 208,649.84 = 100,097.28 : x
  2. Step 2: Convert to fraction form
    151,174.60/208,649.84 = 100,097.28/x
  3. Step 3: Cross multiply
    151,174.60x = 208,649.84 × 100,097.28
  4. Step 4: Simplify right side
    151,174.60x = 20,885,281,456.44
  5. Step 5: Solve for x
    x = 20,885,281,456.44/151,174.60
  6. Step 6: Final answer
    x = 138,153.38

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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.