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Finding the Fourth Proportional to 149,201.64, 205,897.68 and 81,222.39

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Solution

The fourth proportional to 149,201.64, 205,897.68 and 81,222.39 is: 112,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,201.64 : 205,897.68 = 81,222.39 : x
  2. Step 2: Convert to fraction form
    149,201.64/205,897.68 = 81,222.39/x
  3. Step 3: Cross multiply
    149,201.64x = 205,897.68 × 81,222.39
  4. Step 4: Simplify right side
    149,201.64x = 16,723,501,665.06
  5. Step 5: Solve for x
    x = 16,723,501,665.06/149,201.64
  6. Step 6: Final answer
    x = 112,086.58

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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.