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Finding the Fourth Proportional to 261,959.26, 361,503.78 and 142,727.26

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Solution

The fourth proportional to 261,959.26, 361,503.78 and 142,727.26 is: 196,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,959.26 : 361,503.78 = 142,727.26 : x
  2. Step 2: Convert to fraction form
    261,959.26/361,503.78 = 142,727.26/x
  3. Step 3: Cross multiply
    261,959.26x = 361,503.78 × 142,727.26
  4. Step 4: Simplify right side
    261,959.26x = 51,596,443,999.04
  5. Step 5: Solve for x
    x = 51,596,443,999.04/261,959.26
  6. Step 6: Final answer
    x = 196,963.62

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1.5x scale

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.