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Finding the Fourth Proportional to 136,221.72, 204,459.12 and 69,709.56

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Solution

The fourth proportional to 136,221.72, 204,459.12 and 69,709.56 is: 104,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,221.72 : 204,459.12 = 69,709.56 : x
  2. Step 2: Convert to fraction form
    136,221.72/204,459.12 = 69,709.56/x
  3. Step 3: Cross multiply
    136,221.72x = 204,459.12 × 69,709.56
  4. Step 4: Simplify right side
    136,221.72x = 14,252,755,293.19
  5. Step 5: Solve for x
    x = 14,252,755,293.19/136,221.72
  6. Step 6: Final answer
    x = 104,629.10

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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.