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Finding the Fourth Proportional to 119,159.19, 164,329.95 and 80,975.97

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Solution

The fourth proportional to 119,159.19, 164,329.95 and 80,975.97 is: 111,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,159.19 : 164,329.95 = 80,975.97 : x
  2. Step 2: Convert to fraction form
    119,159.19/164,329.95 = 80,975.97/x
  3. Step 3: Cross multiply
    119,159.19x = 164,329.95 × 80,975.97
  4. Step 4: Simplify right side
    119,159.19x = 13,306,777,101.30
  5. Step 5: Solve for x
    x = 13,306,777,101.30/119,159.19
  6. Step 6: Final answer
    x = 111,672.27

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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.