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Finding the Fourth Proportional to 165,159.83, 247,744.86 and 78,586.71

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Solution

The fourth proportional to 165,159.83, 247,744.86 and 78,586.71 is: 117,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,159.83 : 247,744.86 = 78,586.71 : x
  2. Step 2: Convert to fraction form
    165,159.83/247,744.86 = 78,586.71/x
  3. Step 3: Cross multiply
    165,159.83x = 247,744.86 × 78,586.71
  4. Step 4: Simplify right side
    165,159.83x = 19,469,453,466.81
  5. Step 5: Solve for x
    x = 19,469,453,466.81/165,159.83
  6. Step 6: Final answer
    x = 117,882.50

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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.