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Finding the Fourth Proportional to 216,282, 298,432.88 and 120,789.08

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Solution

The fourth proportional to 216,282, 298,432.88 and 120,789.08 is: 166,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,282 : 298,432.88 = 120,789.08 : x
  2. Step 2: Convert to fraction form
    216,282/298,432.88 = 120,789.08/x
  3. Step 3: Cross multiply
    216,282x = 298,432.88 × 120,789.08
  4. Step 4: Simplify right side
    216,282x = 36,047,433,016.95
  5. Step 5: Solve for x
    x = 36,047,433,016.95/216,282
  6. Step 6: Final answer
    x = 166,668.67

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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.