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Finding the Fourth Proportional to 73,291.50, 101,142.81 and 39,757.50

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Solution

The fourth proportional to 73,291.50, 101,142.81 and 39,757.50 is: 54,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,291.50 : 101,142.81 = 39,757.50 : x
  2. Step 2: Convert to fraction form
    73,291.50/101,142.81 = 39,757.50/x
  3. Step 3: Cross multiply
    73,291.50x = 101,142.81 × 39,757.50
  4. Step 4: Simplify right side
    73,291.50x = 4,021,185,268.58
  5. Step 5: Solve for x
    x = 4,021,185,268.58/73,291.50
  6. Step 6: Final answer
    x = 54,865.64

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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.