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Finding the Fourth Proportional to 165,271.78, 247,929.72 and 65,408.62

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Solution

The fourth proportional to 165,271.78, 247,929.72 and 65,408.62 is: 98,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,271.78 : 247,929.72 = 65,408.62 : x
  2. Step 2: Convert to fraction form
    165,271.78/247,929.72 = 65,408.62/x
  3. Step 3: Cross multiply
    165,271.78x = 247,929.72 × 65,408.62
  4. Step 4: Simplify right side
    165,271.78x = 16,216,740,842.19
  5. Step 5: Solve for x
    x = 16,216,740,842.19/165,271.78
  6. Step 6: Final answer
    x = 98,121.66

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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.