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Finding the Fourth Proportional to 205,701.86, 283,894.86 and 115,062.86

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Solution

The fourth proportional to 205,701.86, 283,894.86 and 115,062.86 is: 158,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,701.86 : 283,894.86 = 115,062.86 : x
  2. Step 2: Convert to fraction form
    205,701.86/283,894.86 = 115,062.86/x
  3. Step 3: Cross multiply
    205,701.86x = 283,894.86 × 115,062.86
  4. Step 4: Simplify right side
    205,701.86x = 32,665,754,530.90
  5. Step 5: Solve for x
    x = 32,665,754,530.90/205,701.86
  6. Step 6: Final answer
    x = 158,801.45

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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.