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Finding the Fourth Proportional to 206,730.88, 285,290.56 and 117,299.84

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Solution

The fourth proportional to 206,730.88, 285,290.56 and 117,299.84 is: 161,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,730.88 : 285,290.56 = 117,299.84 : x
  2. Step 2: Convert to fraction form
    206,730.88/285,290.56 = 117,299.84/x
  3. Step 3: Cross multiply
    206,730.88x = 285,290.56 × 117,299.84
  4. Step 4: Simplify right side
    206,730.88x = 33,464,537,041.51
  5. Step 5: Solve for x
    x = 33,464,537,041.51/206,730.88
  6. Step 6: Final answer
    x = 161,874.88

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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.