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Finding the Fourth Proportional to 261,100, 360,318.96 and 141,868

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Solution

The fourth proportional to 261,100, 360,318.96 and 141,868 is: 195,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,100 : 360,318.96 = 141,868 : x
  2. Step 2: Convert to fraction form
    261,100/360,318.96 = 141,868/x
  3. Step 3: Cross multiply
    261,100x = 360,318.96 × 141,868
  4. Step 4: Simplify right side
    261,100x = 51,117,730,217.28
  5. Step 5: Solve for x
    x = 51,117,730,217.28/261,100
  6. Step 6: Final answer
    x = 195,778.36

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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.