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Finding the Fourth Proportional to 213,733, 320,599.50 and 89,074

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Solution

The fourth proportional to 213,733, 320,599.50 and 89,074 is: 133,611

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,733 : 320,599.50 = 89,074 : x
  2. Step 2: Convert to fraction form
    213,733/320,599.50 = 89,074/x
  3. Step 3: Cross multiply
    213,733x = 320,599.50 × 89,074
  4. Step 4: Simplify right side
    213,733x = 28,557,079,863
  5. Step 5: Solve for x
    x = 28,557,079,863/213,733
  6. Step 6: Final answer
    x = 133,611

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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.