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Finding the Fourth Proportional to 212,514, 293,269.32 and 117,020.49

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Solution

The fourth proportional to 212,514, 293,269.32 and 117,020.49 is: 161,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,514 : 293,269.32 = 117,020.49 : x
  2. Step 2: Convert to fraction form
    212,514/293,269.32 = 117,020.49/x
  3. Step 3: Cross multiply
    212,514x = 293,269.32 × 117,020.49
  4. Step 4: Simplify right side
    212,514x = 34,318,519,528.37
  5. Step 5: Solve for x
    x = 34,318,519,528.37/212,514
  6. Step 6: Final answer
    x = 161,488.28

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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.