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Finding the Fourth Proportional to 231,174, 319,020.12 and 125,190

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Solution

The fourth proportional to 231,174, 319,020.12 and 125,190 is: 172,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,174 : 319,020.12 = 125,190 : x
  2. Step 2: Convert to fraction form
    231,174/319,020.12 = 125,190/x
  3. Step 3: Cross multiply
    231,174x = 319,020.12 × 125,190
  4. Step 4: Simplify right side
    231,174x = 39,938,128,822.80
  5. Step 5: Solve for x
    x = 39,938,128,822.80/231,174
  6. Step 6: Final answer
    x = 172,762.20

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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.