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Finding the Fourth Proportional to 229,021, 316,049.78 and 127,048.48

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Solution

The fourth proportional to 229,021, 316,049.78 and 127,048.48 is: 175,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,021 : 316,049.78 = 127,048.48 : x
  2. Step 2: Convert to fraction form
    229,021/316,049.78 = 127,048.48/x
  3. Step 3: Cross multiply
    229,021x = 316,049.78 × 127,048.48
  4. Step 4: Simplify right side
    229,021x = 40,153,644,153.33
  5. Step 5: Solve for x
    x = 40,153,644,153.33/229,021
  6. Step 6: Final answer
    x = 175,327.35

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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.