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Finding the Fourth Proportional to 151,448.40, 226,978.20 and 92,221.20

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Solution

The fourth proportional to 151,448.40, 226,978.20 and 92,221.20 is: 138,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,448.40 : 226,978.20 = 92,221.20 : x
  2. Step 2: Convert to fraction form
    151,448.40/226,978.20 = 92,221.20/x
  3. Step 3: Cross multiply
    151,448.40x = 226,978.20 × 92,221.20
  4. Step 4: Simplify right side
    151,448.40x = 20,932,201,977.84
  5. Step 5: Solve for x
    x = 20,932,201,977.84/151,448.40
  6. Step 6: Final answer
    x = 138,213.42

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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.