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Finding the Fourth Proportional to 145,596.52, 200,906.70 and 81,932.68

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Solution

The fourth proportional to 145,596.52, 200,906.70 and 81,932.68 is: 113,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,596.52 : 200,906.70 = 81,932.68 : x
  2. Step 2: Convert to fraction form
    145,596.52/200,906.70 = 81,932.68/x
  3. Step 3: Cross multiply
    145,596.52x = 200,906.70 × 81,932.68
  4. Step 4: Simplify right side
    145,596.52x = 16,460,824,360.96
  5. Step 5: Solve for x
    x = 16,460,824,360.96/145,596.52
  6. Step 6: Final answer
    x = 113,057.81

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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.