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Finding the Fourth Proportional to 136,318, 204,518.68 and 69,805.20

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Solution

The fourth proportional to 136,318, 204,518.68 and 69,805.20 is: 104,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,318 : 204,518.68 = 69,805.20 : x
  2. Step 2: Convert to fraction form
    136,318/204,518.68 = 69,805.20/x
  3. Step 3: Cross multiply
    136,318x = 204,518.68 × 69,805.20
  4. Step 4: Simplify right side
    136,318x = 14,276,467,361.14
  5. Step 5: Solve for x
    x = 14,276,467,361.14/136,318
  6. Step 6: Final answer
    x = 104,729.14

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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.