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Finding the Fourth Proportional to 119,680.84, 165,119.19 and 74,342.71

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Solution

The fourth proportional to 119,680.84, 165,119.19 and 74,342.71 is: 102,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,680.84 : 165,119.19 = 74,342.71 : x
  2. Step 2: Convert to fraction form
    119,680.84/165,119.19 = 74,342.71/x
  3. Step 3: Cross multiply
    119,680.84x = 165,119.19 × 74,342.71
  4. Step 4: Simplify right side
    119,680.84x = 12,275,408,057.60
  5. Step 5: Solve for x
    x = 12,275,408,057.60/119,680.84
  6. Step 6: Final answer
    x = 102,567.86

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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.