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Finding the Fourth Proportional to 205,157.30, 283,164.30 and 120,301.70

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Solution

The fourth proportional to 205,157.30, 283,164.30 and 120,301.70 is: 166,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,157.30 : 283,164.30 = 120,301.70 : x
  2. Step 2: Convert to fraction form
    205,157.30/283,164.30 = 120,301.70/x
  3. Step 3: Cross multiply
    205,157.30x = 283,164.30 × 120,301.70
  4. Step 4: Simplify right side
    205,157.30x = 34,065,145,253.49
  5. Step 5: Solve for x
    x = 34,065,145,253.49/205,157.30
  6. Step 6: Final answer
    x = 166,044.04

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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.