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Finding the Fourth Proportional to 133,899.80, 200,844.54 and 40,403

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Solution

The fourth proportional to 133,899.80, 200,844.54 and 40,403 is: 60,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,899.80 : 200,844.54 = 40,403 : x
  2. Step 2: Convert to fraction form
    133,899.80/200,844.54 = 40,403/x
  3. Step 3: Cross multiply
    133,899.80x = 200,844.54 × 40,403
  4. Step 4: Simplify right side
    133,899.80x = 8,114,721,949.62
  5. Step 5: Solve for x
    x = 8,114,721,949.62/133,899.80
  6. Step 6: Final answer
    x = 60,602.94

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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.