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Finding the Fourth Proportional to 219,942, 303,519.96 and 119,340

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Solution

The fourth proportional to 219,942, 303,519.96 and 119,340 is: 164,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,942 : 303,519.96 = 119,340 : x
  2. Step 2: Convert to fraction form
    219,942/303,519.96 = 119,340/x
  3. Step 3: Cross multiply
    219,942x = 303,519.96 × 119,340
  4. Step 4: Simplify right side
    219,942x = 36,222,072,026.40
  5. Step 5: Solve for x
    x = 36,222,072,026.40/219,942
  6. Step 6: Final answer
    x = 164,689.20

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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.