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Finding the Fourth Proportional to 93,879, 140,818.50 and 31,549.50

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Solution

The fourth proportional to 93,879, 140,818.50 and 31,549.50 is: 47,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,879 : 140,818.50 = 31,549.50 : x
  2. Step 2: Convert to fraction form
    93,879/140,818.50 = 31,549.50/x
  3. Step 3: Cross multiply
    93,879x = 140,818.50 × 31,549.50
  4. Step 4: Simplify right side
    93,879x = 4,442,753,265.75
  5. Step 5: Solve for x
    x = 4,442,753,265.75/93,879
  6. Step 6: Final answer
    x = 47,324.25

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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.