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Finding the Fourth Proportional to 229,427.10, 316,630.80 and 138,805.33

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Solution

The fourth proportional to 229,427.10, 316,630.80 and 138,805.33 is: 191,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,427.10 : 316,630.80 = 138,805.33 : x
  2. Step 2: Convert to fraction form
    229,427.10/316,630.80 = 138,805.33/x
  3. Step 3: Cross multiply
    229,427.10x = 316,630.80 × 138,805.33
  4. Step 4: Simplify right side
    229,427.10x = 43,950,042,682.16
  5. Step 5: Solve for x
    x = 43,950,042,682.16/229,427.10
  6. Step 6: Final answer
    x = 191,564.30

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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.