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Finding the Fourth Proportional to 306,042.60, 459,027.36 and 81,419.52

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Solution

The fourth proportional to 306,042.60, 459,027.36 and 81,419.52 is: 122,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,042.60 : 459,027.36 = 81,419.52 : x
  2. Step 2: Convert to fraction form
    306,042.60/459,027.36 = 81,419.52/x
  3. Step 3: Cross multiply
    306,042.60x = 459,027.36 × 81,419.52
  4. Step 4: Simplify right side
    306,042.60x = 37,373,787,318.07
  5. Step 5: Solve for x
    x = 37,373,787,318.07/306,042.60
  6. Step 6: Final answer
    x = 122,119.56

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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.