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Finding the Fourth Proportional to 157,792.77, 217,752.92 and 86,172.81

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Solution

The fourth proportional to 157,792.77, 217,752.92 and 86,172.81 is: 118,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,792.77 : 217,752.92 = 86,172.81 : x
  2. Step 2: Convert to fraction form
    157,792.77/217,752.92 = 86,172.81/x
  3. Step 3: Cross multiply
    157,792.77x = 217,752.92 × 86,172.81
  4. Step 4: Simplify right side
    157,792.77x = 18,764,380,571.24
  5. Step 5: Solve for x
    x = 18,764,380,571.24/157,792.77
  6. Step 6: Final answer
    x = 118,917.87

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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.