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Finding the Fourth Proportional to 165,165.30, 247,749.40 and 65,325.50

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Solution

The fourth proportional to 165,165.30, 247,749.40 and 65,325.50 is: 97,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,165.30 : 247,749.40 = 65,325.50 : x
  2. Step 2: Convert to fraction form
    165,165.30/247,749.40 = 65,325.50/x
  3. Step 3: Cross multiply
    165,165.30x = 247,749.40 × 65,325.50
  4. Step 4: Simplify right side
    165,165.30x = 16,184,353,429.70
  5. Step 5: Solve for x
    x = 16,184,353,429.70/165,165.30
  6. Step 6: Final answer
    x = 97,988.82

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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.