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Finding the Fourth Proportional to 157,850.65, 217,831.44 and 86,229.28

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Solution

The fourth proportional to 157,850.65, 217,831.44 and 86,229.28 is: 118,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,850.65 : 217,831.44 = 86,229.28 : x
  2. Step 2: Convert to fraction form
    157,850.65/217,831.44 = 86,229.28/x
  3. Step 3: Cross multiply
    157,850.65x = 217,831.44 × 86,229.28
  4. Step 4: Simplify right side
    157,850.65x = 18,783,448,232.56
  5. Step 5: Solve for x
    x = 18,783,448,232.56/157,850.65
  6. Step 6: Final answer
    x = 118,995.06

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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.