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Finding the Fourth Proportional to 200,916.40, 300,937.20 and 121,892.80

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Solution

The fourth proportional to 200,916.40, 300,937.20 and 121,892.80 is: 182,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,916.40 : 300,937.20 = 121,892.80 : x
  2. Step 2: Convert to fraction form
    200,916.40/300,937.20 = 121,892.80/x
  3. Step 3: Cross multiply
    200,916.40x = 300,937.20 × 121,892.80
  4. Step 4: Simplify right side
    200,916.40x = 36,682,077,932.16
  5. Step 5: Solve for x
    x = 36,682,077,932.16/200,916.40
  6. Step 6: Final answer
    x = 182,573.84

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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.