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Finding the Fourth Proportional to 100,165.20, 149,956.20 and 97,249.20

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Solution

The fourth proportional to 100,165.20, 149,956.20 and 97,249.20 is: 145,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,165.20 : 149,956.20 = 97,249.20 : x
  2. Step 2: Convert to fraction form
    100,165.20/149,956.20 = 97,249.20/x
  3. Step 3: Cross multiply
    100,165.20x = 149,956.20 × 97,249.20
  4. Step 4: Simplify right side
    100,165.20x = 14,583,120,485.04
  5. Step 5: Solve for x
    x = 14,583,120,485.04/100,165.20
  6. Step 6: Final answer
    x = 145,590.69

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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.