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Finding the Fourth Proportional to 54,752.45, 82,137.54 and 21,454.46

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Solution

The fourth proportional to 54,752.45, 82,137.54 and 21,454.46 is: 32,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,752.45 : 82,137.54 = 21,454.46 : x
  2. Step 2: Convert to fraction form
    54,752.45/82,137.54 = 21,454.46/x
  3. Step 3: Cross multiply
    54,752.45x = 82,137.54 × 21,454.46
  4. Step 4: Simplify right side
    54,752.45x = 1,762,216,155.74
  5. Step 5: Solve for x
    x = 1,762,216,155.74/54,752.45
  6. Step 6: Final answer
    x = 32,185.16

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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.