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Finding the Fourth Proportional to 54,643.38, 81,965.19 and 15,200.49

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Solution

The fourth proportional to 54,643.38, 81,965.19 and 15,200.49 is: 22,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,643.38 : 81,965.19 = 15,200.49 : x
  2. Step 2: Convert to fraction form
    54,643.38/81,965.19 = 15,200.49/x
  3. Step 3: Cross multiply
    54,643.38x = 81,965.19 × 15,200.49
  4. Step 4: Simplify right side
    54,643.38x = 1,245,911,050.94
  5. Step 5: Solve for x
    x = 1,245,911,050.94/54,643.38
  6. Step 6: Final answer
    x = 22,800.77

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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.