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Finding the Fourth Proportional to 216,568.30, 298,855.64 and 119,765.86

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Solution

The fourth proportional to 216,568.30, 298,855.64 and 119,765.86 is: 165,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,568.30 : 298,855.64 = 119,765.86 : x
  2. Step 2: Convert to fraction form
    216,568.30/298,855.64 = 119,765.86/x
  3. Step 3: Cross multiply
    216,568.30x = 298,855.64 × 119,765.86
  4. Step 4: Simplify right side
    216,568.30x = 35,792,702,740.45
  5. Step 5: Solve for x
    x = 35,792,702,740.45/216,568.30
  6. Step 6: Final answer
    x = 165,272.12

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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.