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Finding the Fourth Proportional to 231,242, 319,113.96 and 125,258

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Solution

The fourth proportional to 231,242, 319,113.96 and 125,258 is: 172,856.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,242 : 319,113.96 = 125,258 : x
  2. Step 2: Convert to fraction form
    231,242/319,113.96 = 125,258/x
  3. Step 3: Cross multiply
    231,242x = 319,113.96 × 125,258
  4. Step 4: Simplify right side
    231,242x = 39,971,576,401.68
  5. Step 5: Solve for x
    x = 39,971,576,401.68/231,242
  6. Step 6: Final answer
    x = 172,856.04

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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.