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Finding the Fourth Proportional to 205,708.86, 283,904.52 and 115,069.86

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Solution

The fourth proportional to 205,708.86, 283,904.52 and 115,069.86 is: 158,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,708.86 : 283,904.52 = 115,069.86 : x
  2. Step 2: Convert to fraction form
    205,708.86/283,904.52 = 115,069.86/x
  3. Step 3: Cross multiply
    205,708.86x = 283,904.52 × 115,069.86
  4. Step 4: Simplify right side
    205,708.86x = 32,668,853,369.77
  5. Step 5: Solve for x
    x = 32,668,853,369.77/205,708.86
  6. Step 6: Final answer
    x = 158,811.11

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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.