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Finding the Fourth Proportional to 231,145, 318,980.10 and 125,161

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Solution

The fourth proportional to 231,145, 318,980.10 and 125,161 is: 172,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,145 : 318,980.10 = 125,161 : x
  2. Step 2: Convert to fraction form
    231,145/318,980.10 = 125,161/x
  3. Step 3: Cross multiply
    231,145x = 318,980.10 × 125,161
  4. Step 4: Simplify right side
    231,145x = 39,923,868,296.10
  5. Step 5: Solve for x
    x = 39,923,868,296.10/231,145
  6. Step 6: Final answer
    x = 172,722.18

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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.