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Finding the Fourth Proportional to 180,468.20, 270,649.74 and 54,103.40

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Solution

The fourth proportional to 180,468.20, 270,649.74 and 54,103.40 is: 81,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,468.20 : 270,649.74 = 54,103.40 : x
  2. Step 2: Convert to fraction form
    180,468.20/270,649.74 = 54,103.40/x
  3. Step 3: Cross multiply
    180,468.20x = 270,649.74 × 54,103.40
  4. Step 4: Simplify right side
    180,468.20x = 14,643,071,143.12
  5. Step 5: Solve for x
    x = 14,643,071,143.12/180,468.20
  6. Step 6: Final answer
    x = 81,139.34

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1.5x scale

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.