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Finding the Fourth Proportional to 39,454.50, 54,448.83 and 22,687.50

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Solution

The fourth proportional to 39,454.50, 54,448.83 and 22,687.50 is: 31,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,454.50 : 54,448.83 = 22,687.50 : x
  2. Step 2: Convert to fraction form
    39,454.50/54,448.83 = 22,687.50/x
  3. Step 3: Cross multiply
    39,454.50x = 54,448.83 × 22,687.50
  4. Step 4: Simplify right side
    39,454.50x = 1,235,307,830.63
  5. Step 5: Solve for x
    x = 1,235,307,830.63/39,454.50
  6. Step 6: Final answer
    x = 31,309.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.