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Finding the Fourth Proportional to 180,648.96, 270,987.47 and 54,279.35

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Solution

The fourth proportional to 180,648.96, 270,987.47 and 54,279.35 is: 81,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,648.96 : 270,987.47 = 54,279.35 : x
  2. Step 2: Convert to fraction form
    180,648.96/270,987.47 = 54,279.35/x
  3. Step 3: Cross multiply
    180,648.96x = 270,987.47 × 54,279.35
  4. Step 4: Simplify right side
    180,648.96x = 14,709,022,103.41
  5. Step 5: Solve for x
    x = 14,709,022,103.41/180,648.96
  6. Step 6: Final answer
    x = 81,423.23

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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.