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Finding the Fourth Proportional to 233,889.22, 322,850.07 and 138,395.69

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Solution

The fourth proportional to 233,889.22, 322,850.07 and 138,395.69 is: 191,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,889.22 : 322,850.07 = 138,395.69 : x
  2. Step 2: Convert to fraction form
    233,889.22/322,850.07 = 138,395.69/x
  3. Step 3: Cross multiply
    233,889.22x = 322,850.07 × 138,395.69
  4. Step 4: Simplify right side
    233,889.22x = 44,681,057,800.64
  5. Step 5: Solve for x
    x = 44,681,057,800.64/233,889.22
  6. Step 6: Final answer
    x = 191,035.13

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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.