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Finding the Fourth Proportional to 270,599.12, 405,784.43 and 81,086.46

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Solution

The fourth proportional to 270,599.12, 405,784.43 and 81,086.46 is: 121,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,599.12 : 405,784.43 = 81,086.46 : x
  2. Step 2: Convert to fraction form
    270,599.12/405,784.43 = 81,086.46/x
  3. Step 3: Cross multiply
    270,599.12x = 405,784.43 × 81,086.46
  4. Step 4: Simplify right side
    270,599.12x = 32,903,622,951.82
  5. Step 5: Solve for x
    x = 32,903,622,951.82/270,599.12
  6. Step 6: Final answer
    x = 121,595.45

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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.