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Finding the Fourth Proportional to 230,940.72, 318,721.50 and 140,305.77

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Solution

The fourth proportional to 230,940.72, 318,721.50 and 140,305.77 is: 193,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,940.72 : 318,721.50 = 140,305.77 : x
  2. Step 2: Convert to fraction form
    230,940.72/318,721.50 = 140,305.77/x
  3. Step 3: Cross multiply
    230,940.72x = 318,721.50 × 140,305.77
  4. Step 4: Simplify right side
    230,940.72x = 44,718,465,473.06
  5. Step 5: Solve for x
    x = 44,718,465,473.06/230,940.72
  6. Step 6: Final answer
    x = 193,636.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.