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Finding the Fourth Proportional to 165,295.62, 247,929.39 and 65,428.65

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Solution

The fourth proportional to 165,295.62, 247,929.39 and 65,428.65 is: 98,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,295.62 : 247,929.39 = 65,428.65 : x
  2. Step 2: Convert to fraction form
    165,295.62/247,929.39 = 65,428.65/x
  3. Step 3: Cross multiply
    165,295.62x = 247,929.39 × 65,428.65
  4. Step 4: Simplify right side
    165,295.62x = 16,221,685,283.02
  5. Step 5: Solve for x
    x = 16,221,685,283.02/165,295.62
  6. Step 6: Final answer
    x = 98,137.42

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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.