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Finding the Fourth Proportional to 81,218.56, 121,744.86 and 46,084

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Solution

The fourth proportional to 81,218.56, 121,744.86 and 46,084 is: 69,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,218.56 : 121,744.86 = 46,084 : x
  2. Step 2: Convert to fraction form
    81,218.56/121,744.86 = 46,084/x
  3. Step 3: Cross multiply
    81,218.56x = 121,744.86 × 46,084
  4. Step 4: Simplify right side
    81,218.56x = 5,610,490,128.24
  5. Step 5: Solve for x
    x = 5,610,490,128.24/81,218.56
  6. Step 6: Final answer
    x = 69,078.92

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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.