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Finding the Fourth Proportional to 306,093.08, 459,139 and 81,453.52

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Solution

The fourth proportional to 306,093.08, 459,139 and 81,453.52 is: 122,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,093.08 : 459,139 = 81,453.52 : x
  2. Step 2: Convert to fraction form
    306,093.08/459,139 = 81,453.52/x
  3. Step 3: Cross multiply
    306,093.08x = 459,139 × 81,453.52
  4. Step 4: Simplify right side
    306,093.08x = 37,398,487,719.28
  5. Step 5: Solve for x
    x = 37,398,487,719.28/306,093.08
  6. Step 6: Final answer
    x = 122,180.12

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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.