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Finding the Fourth Proportional to 262,154.88, 361,778.88 and 142,922.88

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Solution

The fourth proportional to 262,154.88, 361,778.88 and 142,922.88 is: 197,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,154.88 : 361,778.88 = 142,922.88 : x
  2. Step 2: Convert to fraction form
    262,154.88/361,778.88 = 142,922.88/x
  3. Step 3: Cross multiply
    262,154.88x = 361,778.88 × 142,922.88
  4. Step 4: Simplify right side
    262,154.88x = 51,706,479,452.77
  5. Step 5: Solve for x
    x = 51,706,479,452.77/262,154.88
  6. Step 6: Final answer
    x = 197,236.38

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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.