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Finding the Fourth Proportional to 261,689.52, 361,150.20 and 148,519.56

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Solution

The fourth proportional to 261,689.52, 361,150.20 and 148,519.56 is: 204,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,689.52 : 361,150.20 = 148,519.56 : x
  2. Step 2: Convert to fraction form
    261,689.52/361,150.20 = 148,519.56/x
  3. Step 3: Cross multiply
    261,689.52x = 361,150.20 × 148,519.56
  4. Step 4: Simplify right side
    261,689.52x = 53,637,868,797.91
  5. Step 5: Solve for x
    x = 53,637,868,797.91/261,689.52
  6. Step 6: Final answer
    x = 204,967.58

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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.