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Finding the Fourth Proportional to 181,090.40, 271,635.60 and 47,991.20

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Solution

The fourth proportional to 181,090.40, 271,635.60 and 47,991.20 is: 71,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,090.40 : 271,635.60 = 47,991.20 : x
  2. Step 2: Convert to fraction form
    181,090.40/271,635.60 = 47,991.20/x
  3. Step 3: Cross multiply
    181,090.40x = 271,635.60 × 47,991.20
  4. Step 4: Simplify right side
    181,090.40x = 13,036,118,406.72
  5. Step 5: Solve for x
    x = 13,036,118,406.72/181,090.40
  6. Step 6: Final answer
    x = 71,986.80

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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.