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Finding the Fourth Proportional to 205,695.86, 283,886.56 and 115,056.86

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Solution

The fourth proportional to 205,695.86, 283,886.56 and 115,056.86 is: 158,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,695.86 : 283,886.56 = 115,056.86 : x
  2. Step 2: Convert to fraction form
    205,695.86/283,886.56 = 115,056.86/x
  3. Step 3: Cross multiply
    205,695.86x = 283,886.56 × 115,056.86
  4. Step 4: Simplify right side
    205,695.86x = 32,663,096,189.80
  5. Step 5: Solve for x
    x = 32,663,096,189.80/205,695.86
  6. Step 6: Final answer
    x = 158,793.16

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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.