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Finding the Fourth Proportional to 86,077, 118,792.32 and 48,351.28

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Solution

The fourth proportional to 86,077, 118,792.32 and 48,351.28 is: 66,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,077 : 118,792.32 = 48,351.28 : x
  2. Step 2: Convert to fraction form
    86,077/118,792.32 = 48,351.28/x
  3. Step 3: Cross multiply
    86,077x = 118,792.32 × 48,351.28
  4. Step 4: Simplify right side
    86,077x = 5,743,760,726.17
  5. Step 5: Solve for x
    x = 5,743,760,726.17/86,077
  6. Step 6: Final answer
    x = 66,728.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.