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Finding the Fourth Proportional to 102,784.87, 154,193.94 and 31,690.87

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Solution

The fourth proportional to 102,784.87, 154,193.94 and 31,690.87 is: 47,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,784.87 : 154,193.94 = 31,690.87 : x
  2. Step 2: Convert to fraction form
    102,784.87/154,193.94 = 31,690.87/x
  3. Step 3: Cross multiply
    102,784.87x = 154,193.94 × 31,690.87
  4. Step 4: Simplify right side
    102,784.87x = 4,886,540,107.33
  5. Step 5: Solve for x
    x = 4,886,540,107.33/102,784.87
  6. Step 6: Final answer
    x = 47,541.43

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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.