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Finding the Fourth Proportional to 253,995.59, 380,995.70 and 109,874.52

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Solution

The fourth proportional to 253,995.59, 380,995.70 and 109,874.52 is: 164,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,995.59 : 380,995.70 = 109,874.52 : x
  2. Step 2: Convert to fraction form
    253,995.59/380,995.70 = 109,874.52/x
  3. Step 3: Cross multiply
    253,995.59x = 380,995.70 × 109,874.52
  4. Step 4: Simplify right side
    253,995.59x = 41,861,719,110.19
  5. Step 5: Solve for x
    x = 41,861,719,110.19/253,995.59
  6. Step 6: Final answer
    x = 164,812.78

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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.