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Finding the Fourth Proportional to 180,643.73, 270,979.61 and 54,274.10

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Solution

The fourth proportional to 180,643.73, 270,979.61 and 54,274.10 is: 81,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,643.73 : 270,979.61 = 54,274.10 : x
  2. Step 2: Convert to fraction form
    180,643.73/270,979.61 = 54,274.10/x
  3. Step 3: Cross multiply
    180,643.73x = 270,979.61 × 54,274.10
  4. Step 4: Simplify right side
    180,643.73x = 14,707,172,824.83
  5. Step 5: Solve for x
    x = 14,707,172,824.83/180,643.73
  6. Step 6: Final answer
    x = 81,415.35

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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.