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Finding the Fourth Proportional to 165,408.40, 247,991.10 and 65,519.20

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Solution

The fourth proportional to 165,408.40, 247,991.10 and 65,519.20 is: 98,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,408.40 : 247,991.10 = 65,519.20 : x
  2. Step 2: Convert to fraction form
    165,408.40/247,991.10 = 65,519.20/x
  3. Step 3: Cross multiply
    165,408.40x = 247,991.10 × 65,519.20
  4. Step 4: Simplify right side
    165,408.40x = 16,248,178,479.12
  5. Step 5: Solve for x
    x = 16,248,178,479.12/165,408.40
  6. Step 6: Final answer
    x = 98,230.67

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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.