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Finding the Fourth Proportional to 206,690.27, 310,038.52 and 71,758.62

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Solution

The fourth proportional to 206,690.27, 310,038.52 and 71,758.62 is: 107,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,690.27 : 310,038.52 = 71,758.62 : x
  2. Step 2: Convert to fraction form
    206,690.27/310,038.52 = 71,758.62/x
  3. Step 3: Cross multiply
    206,690.27x = 310,038.52 × 71,758.62
  4. Step 4: Simplify right side
    206,690.27x = 22,247,937,594.39
  5. Step 5: Solve for x
    x = 22,247,937,594.39/206,690.27
  6. Step 6: Final answer
    x = 107,639.02

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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.