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Finding the Fourth Proportional to 253,874.32, 381,039.90 and 135,646.72

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Solution

The fourth proportional to 253,874.32, 381,039.90 and 135,646.72 is: 203,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,874.32 : 381,039.90 = 135,646.72 : x
  2. Step 2: Convert to fraction form
    253,874.32/381,039.90 = 135,646.72/x
  3. Step 3: Cross multiply
    253,874.32x = 381,039.90 × 135,646.72
  4. Step 4: Simplify right side
    253,874.32x = 51,686,812,624.13
  5. Step 5: Solve for x
    x = 51,686,812,624.13/253,874.32
  6. Step 6: Final answer
    x = 203,592.13

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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.