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Finding the Fourth Proportional to 219,803.50, 303,329.02 and 119,201.50

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Solution

The fourth proportional to 219,803.50, 303,329.02 and 119,201.50 is: 164,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,803.50 : 303,329.02 = 119,201.50 : x
  2. Step 2: Convert to fraction form
    219,803.50/303,329.02 = 119,201.50/x
  3. Step 3: Cross multiply
    219,803.50x = 303,329.02 × 119,201.50
  4. Step 4: Simplify right side
    219,803.50x = 36,157,274,177.53
  5. Step 5: Solve for x
    x = 36,157,274,177.53/219,803.50
  6. Step 6: Final answer
    x = 164,498.17

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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.