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Finding the Fourth Proportional to 145,597.92, 200,924.49 and 81,936.78

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Solution

The fourth proportional to 145,597.92, 200,924.49 and 81,936.78 is: 113,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,597.92 : 200,924.49 = 81,936.78 : x
  2. Step 2: Convert to fraction form
    145,597.92/200,924.49 = 81,936.78/x
  3. Step 3: Cross multiply
    145,597.92x = 200,924.49 × 81,936.78
  4. Step 4: Simplify right side
    145,597.92x = 16,463,105,733.74
  5. Step 5: Solve for x
    x = 16,463,105,733.74/145,597.92
  6. Step 6: Final answer
    x = 113,072.40

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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.