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Finding the Fourth Proportional to 142,092.80, 195,967.68 and 85,493.60

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Solution

The fourth proportional to 142,092.80, 195,967.68 and 85,493.60 is: 117,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,092.80 : 195,967.68 = 85,493.60 : x
  2. Step 2: Convert to fraction form
    142,092.80/195,967.68 = 85,493.60/x
  3. Step 3: Cross multiply
    142,092.80x = 195,967.68 × 85,493.60
  4. Step 4: Simplify right side
    142,092.80x = 16,753,982,446.85
  5. Step 5: Solve for x
    x = 16,753,982,446.85/142,092.80
  6. Step 6: Final answer
    x = 117,908.74

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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.