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Finding the Fourth Proportional to 261,871.65, 361,383.26 and 148,694.40

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Solution

The fourth proportional to 261,871.65, 361,383.26 and 148,694.40 is: 205,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,871.65 : 361,383.26 = 148,694.40 : x
  2. Step 2: Convert to fraction form
    261,871.65/361,383.26 = 148,694.40/x
  3. Step 3: Cross multiply
    261,871.65x = 361,383.26 × 148,694.40
  4. Step 4: Simplify right side
    261,871.65x = 53,735,666,272.27
  5. Step 5: Solve for x
    x = 53,735,666,272.27/261,871.65
  6. Step 6: Final answer
    x = 205,198.49

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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.