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Finding the Fourth Proportional to 133,098.20, 199,647.30 and 69,893.90

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Solution

The fourth proportional to 133,098.20, 199,647.30 and 69,893.90 is: 104,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098.20 : 199,647.30 = 69,893.90 : x
  2. Step 2: Convert to fraction form
    133,098.20/199,647.30 = 69,893.90/x
  3. Step 3: Cross multiply
    133,098.20x = 199,647.30 × 69,893.90
  4. Step 4: Simplify right side
    133,098.20x = 13,954,128,421.47
  5. Step 5: Solve for x
    x = 13,954,128,421.47/133,098.20
  6. Step 6: Final answer
    x = 104,840.85

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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.