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Finding the Fourth Proportional to 205,168.80, 283,019.16 and 120,269.52

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Solution

The fourth proportional to 205,168.80, 283,019.16 and 120,269.52 is: 165,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,168.80 : 283,019.16 = 120,269.52 : x
  2. Step 2: Convert to fraction form
    205,168.80/283,019.16 = 120,269.52/x
  3. Step 3: Cross multiply
    205,168.80x = 283,019.16 × 120,269.52
  4. Step 4: Simplify right side
    205,168.80x = 34,038,578,524.00
  5. Step 5: Solve for x
    x = 34,038,578,524.00/205,168.80
  6. Step 6: Final answer
    x = 165,905.24

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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.