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Finding the Fourth Proportional to 216,279.66, 298,466.55 and 120,789.96

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Solution

The fourth proportional to 216,279.66, 298,466.55 and 120,789.96 is: 166,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,279.66 : 298,466.55 = 120,789.96 : x
  2. Step 2: Convert to fraction form
    216,279.66/298,466.55 = 120,789.96/x
  3. Step 3: Cross multiply
    216,279.66x = 298,466.55 × 120,789.96
  4. Step 4: Simplify right side
    216,279.66x = 36,051,762,635.84
  5. Step 5: Solve for x
    x = 36,051,762,635.84/216,279.66
  6. Step 6: Final answer
    x = 166,690.49

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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.