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Finding the Fourth Proportional to 216,407.76, 298,658.16 and 119,609.54

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Solution

The fourth proportional to 216,407.76, 298,658.16 and 119,609.54 is: 165,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,407.76 : 298,658.16 = 119,609.54 : x
  2. Step 2: Convert to fraction form
    216,407.76/298,658.16 = 119,609.54/x
  3. Step 3: Cross multiply
    216,407.76x = 298,658.16 × 119,609.54
  4. Step 4: Simplify right side
    216,407.76x = 35,722,365,134.85
  5. Step 5: Solve for x
    x = 35,722,365,134.85/216,407.76
  6. Step 6: Final answer
    x = 165,069.71

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1.5x scale

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.