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Finding the Fourth Proportional to 119,117.86, 164,272.92 and 80,934.58

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Solution

The fourth proportional to 119,117.86, 164,272.92 and 80,934.58 is: 111,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,117.86 : 164,272.92 = 80,934.58 : x
  2. Step 2: Convert to fraction form
    119,117.86/164,272.92 = 80,934.58/x
  3. Step 3: Cross multiply
    119,117.86x = 164,272.92 × 80,934.58
  4. Step 4: Simplify right side
    119,117.86x = 13,295,359,785.57
  5. Step 5: Solve for x
    x = 13,295,359,785.57/119,117.86
  6. Step 6: Final answer
    x = 111,615.17

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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.