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Finding the Fourth Proportional to 165,158.94, 247,743.56 and 78,585.84

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Solution

The fourth proportional to 165,158.94, 247,743.56 and 78,585.84 is: 117,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,158.94 : 247,743.56 = 78,585.84 : x
  2. Step 2: Convert to fraction form
    165,158.94/247,743.56 = 78,585.84/x
  3. Step 3: Cross multiply
    165,158.94x = 247,743.56 × 78,585.84
  4. Step 4: Simplify right side
    165,158.94x = 19,469,135,767.19
  5. Step 5: Solve for x
    x = 19,469,135,767.19/165,158.94
  6. Step 6: Final answer
    x = 117,881.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.