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Finding the Fourth Proportional to 81,147.94, 121,721.94 and 33,762.16

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Solution

The fourth proportional to 81,147.94, 121,721.94 and 33,762.16 is: 50,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,147.94 : 121,721.94 = 33,762.16 : x
  2. Step 2: Convert to fraction form
    81,147.94/121,721.94 = 33,762.16/x
  3. Step 3: Cross multiply
    81,147.94x = 121,721.94 × 33,762.16
  4. Step 4: Simplify right side
    81,147.94x = 4,109,595,613.79
  5. Step 5: Solve for x
    x = 4,109,595,613.79/81,147.94
  6. Step 6: Final answer
    x = 50,643.25

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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.