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Finding the Fourth Proportional to 81,180, 121,806.48 and 51,590.16

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Solution

The fourth proportional to 81,180, 121,806.48 and 51,590.16 is: 77,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,180 : 121,806.48 = 51,590.16 : x
  2. Step 2: Convert to fraction form
    81,180/121,806.48 = 51,590.16/x
  3. Step 3: Cross multiply
    81,180x = 121,806.48 × 51,590.16
  4. Step 4: Simplify right side
    81,180x = 6,284,015,792.24
  5. Step 5: Solve for x
    x = 6,284,015,792.24/81,180
  6. Step 6: Final answer
    x = 77,408.42

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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.