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Finding the Fourth Proportional to 261,967, 361,514.46 and 142,735

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Solution

The fourth proportional to 261,967, 361,514.46 and 142,735 is: 196,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,967 : 361,514.46 = 142,735 : x
  2. Step 2: Convert to fraction form
    261,967/361,514.46 = 142,735/x
  3. Step 3: Cross multiply
    261,967x = 361,514.46 × 142,735
  4. Step 4: Simplify right side
    261,967x = 51,600,766,448.10
  5. Step 5: Solve for x
    x = 51,600,766,448.10/261,967
  6. Step 6: Final answer
    x = 196,974.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.