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Finding the Fourth Proportional to 306,088.83, 459,132.62 and 81,449.25

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Solution

The fourth proportional to 306,088.83, 459,132.62 and 81,449.25 is: 122,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,088.83 : 459,132.62 = 81,449.25 : x
  2. Step 2: Convert to fraction form
    306,088.83/459,132.62 = 81,449.25/x
  3. Step 3: Cross multiply
    306,088.83x = 459,132.62 × 81,449.25
  4. Step 4: Simplify right side
    306,088.83x = 37,396,007,142.29
  5. Step 5: Solve for x
    x = 37,396,007,142.29/306,088.83
  6. Step 6: Final answer
    x = 122,173.71

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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.