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Finding the Fourth Proportional to 219,310.29, 302,696.19 and 138,845.10

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Solution

The fourth proportional to 219,310.29, 302,696.19 and 138,845.10 is: 191,636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,310.29 : 302,696.19 = 138,845.10 : x
  2. Step 2: Convert to fraction form
    219,310.29/302,696.19 = 138,845.10/x
  3. Step 3: Cross multiply
    219,310.29x = 302,696.19 × 138,845.10
  4. Step 4: Simplify right side
    219,310.29x = 42,027,882,770.17
  5. Step 5: Solve for x
    x = 42,027,882,770.17/219,310.29
  6. Step 6: Final answer
    x = 191,636.62

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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.