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Finding the Fourth Proportional to 180,454.91, 270,719.72 and 54,090.05

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Solution

The fourth proportional to 180,454.91, 270,719.72 and 54,090.05 is: 81,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,454.91 : 270,719.72 = 54,090.05 : x
  2. Step 2: Convert to fraction form
    180,454.91/270,719.72 = 54,090.05/x
  3. Step 3: Cross multiply
    180,454.91x = 270,719.72 × 54,090.05
  4. Step 4: Simplify right side
    180,454.91x = 14,643,243,190.79
  5. Step 5: Solve for x
    x = 14,643,243,190.79/180,454.91
  6. Step 6: Final answer
    x = 81,146.27

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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.