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Finding the Fourth Proportional to 219,933, 303,509.16 and 119,331

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Solution

The fourth proportional to 219,933, 303,509.16 and 119,331 is: 164,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,933 : 303,509.16 = 119,331 : x
  2. Step 2: Convert to fraction form
    219,933/303,509.16 = 119,331/x
  3. Step 3: Cross multiply
    219,933x = 303,509.16 × 119,331
  4. Step 4: Simplify right side
    219,933x = 36,218,051,571.96
  5. Step 5: Solve for x
    x = 36,218,051,571.96/219,933
  6. Step 6: Final answer
    x = 164,677.66

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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.