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Finding the Fourth Proportional to 81,064.44, 121,602.47 and 31,144.54

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Solution

The fourth proportional to 81,064.44, 121,602.47 and 31,144.54 is: 46,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,064.44 : 121,602.47 = 31,144.54 : x
  2. Step 2: Convert to fraction form
    81,064.44/121,602.47 = 31,144.54/x
  3. Step 3: Cross multiply
    81,064.44x = 121,602.47 × 31,144.54
  4. Step 4: Simplify right side
    81,064.44x = 3,787,252,991.01
  5. Step 5: Solve for x
    x = 3,787,252,991.01/81,064.44
  6. Step 6: Final answer
    x = 46,719.04

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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.