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Finding the Fourth Proportional to 145,536.87, 200,767.38 and 85,068

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Solution

The fourth proportional to 145,536.87, 200,767.38 and 85,068 is: 117,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,536.87 : 200,767.38 = 85,068 : x
  2. Step 2: Convert to fraction form
    145,536.87/200,767.38 = 85,068/x
  3. Step 3: Cross multiply
    145,536.87x = 200,767.38 × 85,068
  4. Step 4: Simplify right side
    145,536.87x = 17,078,879,481.84
  5. Step 5: Solve for x
    x = 17,078,879,481.84/145,536.87
  6. Step 6: Final answer
    x = 117,350.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.