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Finding the Fourth Proportional to 256,575.42, 384,919.83 and 88,091.91

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Solution

The fourth proportional to 256,575.42, 384,919.83 and 88,091.91 is: 132,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,575.42 : 384,919.83 = 88,091.91 : x
  2. Step 2: Convert to fraction form
    256,575.42/384,919.83 = 88,091.91/x
  3. Step 3: Cross multiply
    256,575.42x = 384,919.83 × 88,091.91
  4. Step 4: Simplify right side
    256,575.42x = 33,908,323,021.58
  5. Step 5: Solve for x
    x = 33,908,323,021.58/256,575.42
  6. Step 6: Final answer
    x = 132,157.33

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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.