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Finding the Fourth Proportional to 81,920.62, 122,684.10 and 46,753.66

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Solution

The fourth proportional to 81,920.62, 122,684.10 and 46,753.66 is: 70,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,920.62 : 122,684.10 = 46,753.66 : x
  2. Step 2: Convert to fraction form
    81,920.62/122,684.10 = 46,753.66/x
  3. Step 3: Cross multiply
    81,920.62x = 122,684.10 × 46,753.66
  4. Step 4: Simplify right side
    81,920.62x = 5,735,930,698.81
  5. Step 5: Solve for x
    x = 5,735,930,698.81/81,920.62
  6. Step 6: Final answer
    x = 70,018.16

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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.