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Finding the Fourth Proportional to 204,994.67, 282,805.45 and 128,461.68

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Solution

The fourth proportional to 204,994.67, 282,805.45 and 128,461.68 is: 177,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,994.67 : 282,805.45 = 128,461.68 : x
  2. Step 2: Convert to fraction form
    204,994.67/282,805.45 = 128,461.68/x
  3. Step 3: Cross multiply
    204,994.67x = 282,805.45 × 128,461.68
  4. Step 4: Simplify right side
    204,994.67x = 36,329,662,899.00
  5. Step 5: Solve for x
    x = 36,329,662,899.00/204,994.67
  6. Step 6: Final answer
    x = 177,222.48

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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.