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Finding the Fourth Proportional to 261,940.16, 361,479.84 and 142,708.16

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Solution

The fourth proportional to 261,940.16, 361,479.84 and 142,708.16 is: 196,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,940.16 : 361,479.84 = 142,708.16 : x
  2. Step 2: Convert to fraction form
    261,940.16/361,479.84 = 142,708.16/x
  3. Step 3: Cross multiply
    261,940.16x = 361,479.84 × 142,708.16
  4. Step 4: Simplify right side
    261,940.16x = 51,586,122,843.49
  5. Step 5: Solve for x
    x = 51,586,122,843.49/261,940.16
  6. Step 6: Final answer
    x = 196,938.58

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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.