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Finding the Fourth Proportional to 223,036.64, 307,849.56 and 138,105.44

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Solution

The fourth proportional to 223,036.64, 307,849.56 and 138,105.44 is: 190,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,036.64 : 307,849.56 = 138,105.44 : x
  2. Step 2: Convert to fraction form
    223,036.64/307,849.56 = 138,105.44/x
  3. Step 3: Cross multiply
    223,036.64x = 307,849.56 × 138,105.44
  4. Step 4: Simplify right side
    223,036.64x = 42,515,698,937.61
  5. Step 5: Solve for x
    x = 42,515,698,937.61/223,036.64
  6. Step 6: Final answer
    x = 190,622.04

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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.