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Finding the Fourth Proportional to 73,072.64, 100,840.32 and 39,538.56

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Solution

The fourth proportional to 73,072.64, 100,840.32 and 39,538.56 is: 54,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,072.64 : 100,840.32 = 39,538.56 : x
  2. Step 2: Convert to fraction form
    73,072.64/100,840.32 = 39,538.56/x
  3. Step 3: Cross multiply
    73,072.64x = 100,840.32 × 39,538.56
  4. Step 4: Simplify right side
    73,072.64x = 3,987,081,042.74
  5. Step 5: Solve for x
    x = 3,987,081,042.74/73,072.64
  6. Step 6: Final answer
    x = 54,563.25

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1.5x scale

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.