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Finding the Fourth Proportional to 216,499.50, 298,783.26 and 121,006.56

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Solution

The fourth proportional to 216,499.50, 298,783.26 and 121,006.56 is: 166,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,499.50 : 298,783.26 = 121,006.56 : x
  2. Step 2: Convert to fraction form
    216,499.50/298,783.26 = 121,006.56/x
  3. Step 3: Cross multiply
    216,499.50x = 298,783.26 × 121,006.56
  4. Step 4: Simplify right side
    216,499.50x = 36,154,734,478.19
  5. Step 5: Solve for x
    x = 36,154,734,478.19/216,499.50
  6. Step 6: Final answer
    x = 166,996.85

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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.