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Finding the Fourth Proportional to 216,085.50, 298,217.83 and 119,306.65

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Solution

The fourth proportional to 216,085.50, 298,217.83 and 119,306.65 is: 164,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,085.50 : 298,217.83 = 119,306.65 : x
  2. Step 2: Convert to fraction form
    216,085.50/298,217.83 = 119,306.65/x
  3. Step 3: Cross multiply
    216,085.50x = 298,217.83 × 119,306.65
  4. Step 4: Simplify right side
    216,085.50x = 35,579,370,267.57
  5. Step 5: Solve for x
    x = 35,579,370,267.57/216,085.50
  6. Step 6: Final answer
    x = 164,654.13

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