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Finding the Fourth Proportional to 261,850.56, 361,353.72 and 142,618.56

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Solution

The fourth proportional to 261,850.56, 361,353.72 and 142,618.56 is: 196,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,850.56 : 361,353.72 = 142,618.56 : x
  2. Step 2: Convert to fraction form
    261,850.56/361,353.72 = 142,618.56/x
  3. Step 3: Cross multiply
    261,850.56x = 361,353.72 × 142,618.56
  4. Step 4: Simplify right side
    261,850.56x = 51,535,747,197.04
  5. Step 5: Solve for x
    x = 51,535,747,197.04/261,850.56
  6. Step 6: Final answer
    x = 196,813.58

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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.