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Finding the Fourth Proportional to 223,034.64, 307,846.80 and 138,103.44

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Solution

The fourth proportional to 223,034.64, 307,846.80 and 138,103.44 is: 190,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,034.64 : 307,846.80 = 138,103.44 : x
  2. Step 2: Convert to fraction form
    223,034.64/307,846.80 = 138,103.44/x
  3. Step 3: Cross multiply
    223,034.64x = 307,846.80 × 138,103.44
  4. Step 4: Simplify right side
    223,034.64x = 42,514,702,072.99
  5. Step 5: Solve for x
    x = 42,514,702,072.99/223,034.64
  6. Step 6: Final answer
    x = 190,619.28

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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.