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Finding the Fourth Proportional to 133,898.80, 200,843.04 and 40,402

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Solution

The fourth proportional to 133,898.80, 200,843.04 and 40,402 is: 60,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,898.80 : 200,843.04 = 40,402 : x
  2. Step 2: Convert to fraction form
    133,898.80/200,843.04 = 40,402/x
  3. Step 3: Cross multiply
    133,898.80x = 200,843.04 × 40,402
  4. Step 4: Simplify right side
    133,898.80x = 8,114,460,502.08
  5. Step 5: Solve for x
    x = 8,114,460,502.08/133,898.80
  6. Step 6: Final answer
    x = 60,601.44

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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.