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Finding the Fourth Proportional to 205,805.66, 283,922.84 and 145,428.05

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Solution

The fourth proportional to 205,805.66, 283,922.84 and 145,428.05 is: 200,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,805.66 : 283,922.84 = 145,428.05 : x
  2. Step 2: Convert to fraction form
    205,805.66/283,922.84 = 145,428.05/x
  3. Step 3: Cross multiply
    205,805.66x = 283,922.84 × 145,428.05
  4. Step 4: Simplify right side
    205,805.66x = 41,290,346,045.04
  5. Step 5: Solve for x
    x = 41,290,346,045.04/205,805.66
  6. Step 6: Final answer
    x = 200,627.85

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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.