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Finding the Fourth Proportional to 165,160.82, 247,746.36 and 78,587.71

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Solution

The fourth proportional to 165,160.82, 247,746.36 and 78,587.71 is: 117,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,160.82 : 247,746.36 = 78,587.71 : x
  2. Step 2: Convert to fraction form
    165,160.82/247,746.36 = 78,587.71/x
  3. Step 3: Cross multiply
    165,160.82x = 247,746.36 × 78,587.71
  4. Step 4: Simplify right side
    165,160.82x = 19,469,819,093.24
  5. Step 5: Solve for x
    x = 19,469,819,093.24/165,160.82
  6. Step 6: Final answer
    x = 117,884.01

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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.