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Finding the Fourth Proportional to 229,614.48, 316,855.80 and 129,006

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Solution

The fourth proportional to 229,614.48, 316,855.80 and 129,006 is: 178,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,614.48 : 316,855.80 = 129,006 : x
  2. Step 2: Convert to fraction form
    229,614.48/316,855.80 = 129,006/x
  3. Step 3: Cross multiply
    229,614.48x = 316,855.80 × 129,006
  4. Step 4: Simplify right side
    229,614.48x = 40,876,299,334.80
  5. Step 5: Solve for x
    x = 40,876,299,334.80/229,614.48
  6. Step 6: Final answer
    x = 178,021.44

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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.