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Finding the Fourth Proportional to 233,939.92, 322,831.70 and 138,448.21

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Solution

The fourth proportional to 233,939.92, 322,831.70 and 138,448.21 is: 191,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,939.92 : 322,831.70 = 138,448.21 : x
  2. Step 2: Convert to fraction form
    233,939.92/322,831.70 = 138,448.21/x
  3. Step 3: Cross multiply
    233,939.92x = 322,831.70 × 138,448.21
  4. Step 4: Simplify right side
    233,939.92x = 44,695,470,304.02
  5. Step 5: Solve for x
    x = 44,695,470,304.02/233,939.92
  6. Step 6: Final answer
    x = 191,055.34

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