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Finding the Fourth Proportional to 72,090.78, 108,136.20 and 22,842.78

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Solution

The fourth proportional to 72,090.78, 108,136.20 and 22,842.78 is: 34,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,090.78 : 108,136.20 = 22,842.78 : x
  2. Step 2: Convert to fraction form
    72,090.78/108,136.20 = 22,842.78/x
  3. Step 3: Cross multiply
    72,090.78x = 108,136.20 × 22,842.78
  4. Step 4: Simplify right side
    72,090.78x = 2,470,131,426.64
  5. Step 5: Solve for x
    x = 2,470,131,426.64/72,090.78
  6. Step 6: Final answer
    x = 34,264.18

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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.