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Finding the Fourth Proportional to 306,055.60, 459,118.34 and 81,425.18

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Solution

The fourth proportional to 306,055.60, 459,118.34 and 81,425.18 is: 122,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,055.60 : 459,118.34 = 81,425.18 : x
  2. Step 2: Convert to fraction form
    306,055.60/459,118.34 = 81,425.18/x
  3. Step 3: Cross multiply
    306,055.60x = 459,118.34 × 81,425.18
  4. Step 4: Simplify right side
    306,055.60x = 37,383,793,068.68
  5. Step 5: Solve for x
    x = 37,383,793,068.68/306,055.60
  6. Step 6: Final answer
    x = 122,147.07

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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.