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Finding the Fourth Proportional to 119,332.80, 164,687.76 and 78,976.08

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Solution

The fourth proportional to 119,332.80, 164,687.76 and 78,976.08 is: 108,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,332.80 : 164,687.76 = 78,976.08 : x
  2. Step 2: Convert to fraction form
    119,332.80/164,687.76 = 78,976.08/x
  3. Step 3: Cross multiply
    119,332.80x = 164,687.76 × 78,976.08
  4. Step 4: Simplify right side
    119,332.80x = 13,006,393,708.78
  5. Step 5: Solve for x
    x = 13,006,393,708.78/119,332.80
  6. Step 6: Final answer
    x = 108,992.61

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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.