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Finding the Fourth Proportional to 261,959.63, 361,504.28 and 142,727.63

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Solution

The fourth proportional to 261,959.63, 361,504.28 and 142,727.63 is: 196,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,959.63 : 361,504.28 = 142,727.63 : x
  2. Step 2: Convert to fraction form
    261,959.63/361,504.28 = 142,727.63/x
  3. Step 3: Cross multiply
    261,959.63x = 361,504.28 × 142,727.63
  4. Step 4: Simplify right side
    261,959.63x = 51,596,647,668.55
  5. Step 5: Solve for x
    x = 51,596,647,668.55/261,959.63
  6. Step 6: Final answer
    x = 196,964.12

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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.