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Finding the Fourth Proportional to 270,586.90, 405,884.94 and 81,003.16

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Solution

The fourth proportional to 270,586.90, 405,884.94 and 81,003.16 is: 121,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,586.90 : 405,884.94 = 81,003.16 : x
  2. Step 2: Convert to fraction form
    270,586.90/405,884.94 = 81,003.16/x
  3. Step 3: Cross multiply
    270,586.90x = 405,884.94 × 81,003.16
  4. Step 4: Simplify right side
    270,586.90x = 32,877,962,736.41
  5. Step 5: Solve for x
    x = 32,877,962,736.41/270,586.90
  6. Step 6: Final answer
    x = 121,506.11

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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.