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Finding the Fourth Proportional to 200,811.95, 300,807.82 and 112,112.70

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Solution

The fourth proportional to 200,811.95, 300,807.82 and 112,112.70 is: 167,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,811.95 : 300,807.82 = 112,112.70 : x
  2. Step 2: Convert to fraction form
    200,811.95/300,807.82 = 112,112.70/x
  3. Step 3: Cross multiply
    200,811.95x = 300,807.82 × 112,112.70
  4. Step 4: Simplify right side
    200,811.95x = 33,724,376,881.31
  5. Step 5: Solve for x
    x = 33,724,376,881.31/200,811.95
  6. Step 6: Final answer
    x = 167,940.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.