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Finding the Fourth Proportional to 206,991.15, 285,671.59 and 115,119.76

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Solution

The fourth proportional to 206,991.15, 285,671.59 and 115,119.76 is: 158,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,991.15 : 285,671.59 = 115,119.76 : x
  2. Step 2: Convert to fraction form
    206,991.15/285,671.59 = 115,119.76/x
  3. Step 3: Cross multiply
    206,991.15x = 285,671.59 × 115,119.76
  4. Step 4: Simplify right side
    206,991.15x = 32,886,443,451.26
  5. Step 5: Solve for x
    x = 32,886,443,451.26/206,991.15
  6. Step 6: Final answer
    x = 158,878.50

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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.