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Finding the Fourth Proportional to 136,368.45, 204,584.87 and 42,874.20

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Solution

The fourth proportional to 136,368.45, 204,584.87 and 42,874.20 is: 64,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,368.45 : 204,584.87 = 42,874.20 : x
  2. Step 2: Convert to fraction form
    136,368.45/204,584.87 = 42,874.20/x
  3. Step 3: Cross multiply
    136,368.45x = 204,584.87 × 42,874.20
  4. Step 4: Simplify right side
    136,368.45x = 8,771,412,633.35
  5. Step 5: Solve for x
    x = 8,771,412,633.35/136,368.45
  6. Step 6: Final answer
    x = 64,321.42

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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.