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Finding the Fourth Proportional to 216,499.50, 298,764.14 and 121,015.08

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Solution

The fourth proportional to 216,499.50, 298,764.14 and 121,015.08 is: 166,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,499.50 : 298,764.14 = 121,015.08 : x
  2. Step 2: Convert to fraction form
    216,499.50/298,764.14 = 121,015.08/x
  3. Step 3: Cross multiply
    216,499.50x = 298,764.14 × 121,015.08
  4. Step 4: Simplify right side
    216,499.50x = 36,154,965,698.16
  5. Step 5: Solve for x
    x = 36,154,965,698.16/216,499.50
  6. Step 6: Final answer
    x = 166,997.92

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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.