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Finding the Fourth Proportional to 206,549.70, 285,015.15 and 115,886.76

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Solution

The fourth proportional to 206,549.70, 285,015.15 and 115,886.76 is: 159,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,549.70 : 285,015.15 = 115,886.76 : x
  2. Step 2: Convert to fraction form
    206,549.70/285,015.15 = 115,886.76/x
  3. Step 3: Cross multiply
    206,549.70x = 285,015.15 × 115,886.76
  4. Step 4: Simplify right side
    206,549.70x = 33,029,482,284.41
  5. Step 5: Solve for x
    x = 33,029,482,284.41/206,549.70
  6. Step 6: Final answer
    x = 159,910.58

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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.