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Finding the Fourth Proportional to 261,813, 361,301.94 and 142,581

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Solution

The fourth proportional to 261,813, 361,301.94 and 142,581 is: 196,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,813 : 361,301.94 = 142,581 : x
  2. Step 2: Convert to fraction form
    261,813/361,301.94 = 142,581/x
  3. Step 3: Cross multiply
    261,813x = 361,301.94 × 142,581
  4. Step 4: Simplify right side
    261,813x = 51,514,791,907.14
  5. Step 5: Solve for x
    x = 51,514,791,907.14/261,813
  6. Step 6: Final answer
    x = 196,761.78

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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.