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Finding the Fourth Proportional to 133,046.20, 199,569.30 and 69,841.90

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Solution

The fourth proportional to 133,046.20, 199,569.30 and 69,841.90 is: 104,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046.20 : 199,569.30 = 69,841.90 : x
  2. Step 2: Convert to fraction form
    133,046.20/199,569.30 = 69,841.90/x
  3. Step 3: Cross multiply
    133,046.20x = 199,569.30 × 69,841.90
  4. Step 4: Simplify right side
    133,046.20x = 13,938,299,093.67
  5. Step 5: Solve for x
    x = 13,938,299,093.67/133,046.20
  6. Step 6: Final answer
    x = 104,762.85

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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.