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Finding the Fourth Proportional to 306,091.08, 459,136 and 81,451.52

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Solution

The fourth proportional to 306,091.08, 459,136 and 81,451.52 is: 122,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,091.08 : 459,136 = 81,451.52 : x
  2. Step 2: Convert to fraction form
    306,091.08/459,136 = 81,451.52/x
  3. Step 3: Cross multiply
    306,091.08x = 459,136 × 81,451.52
  4. Step 4: Simplify right side
    306,091.08x = 37,397,325,086.72
  5. Step 5: Solve for x
    x = 37,397,325,086.72/306,091.08
  6. Step 6: Final answer
    x = 122,177.12

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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.