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Finding the Fourth Proportional to 101,416.66, 152,078.82 and 54,019.71

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Solution

The fourth proportional to 101,416.66, 152,078.82 and 54,019.71 is: 81,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,416.66 : 152,078.82 = 54,019.71 : x
  2. Step 2: Convert to fraction form
    101,416.66/152,078.82 = 54,019.71/x
  3. Step 3: Cross multiply
    101,416.66x = 152,078.82 × 54,019.71
  4. Step 4: Simplify right side
    101,416.66x = 8,215,253,550.97
  5. Step 5: Solve for x
    x = 8,215,253,550.97/101,416.66
  6. Step 6: Final answer
    x = 81,004.97

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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.