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Finding the Fourth Proportional to 136,884, 205,309.83 and 42,114

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Solution

The fourth proportional to 136,884, 205,309.83 and 42,114 is: 63,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,884 : 205,309.83 = 42,114 : x
  2. Step 2: Convert to fraction form
    136,884/205,309.83 = 42,114/x
  3. Step 3: Cross multiply
    136,884x = 205,309.83 × 42,114
  4. Step 4: Simplify right side
    136,884x = 8,646,418,180.62
  5. Step 5: Solve for x
    x = 8,646,418,180.62/136,884
  6. Step 6: Final answer
    x = 63,166.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.