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Finding the Fourth Proportional to 212,002, 318,049.78 and 117,370.24

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Solution

The fourth proportional to 212,002, 318,049.78 and 117,370.24 is: 176,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,002 : 318,049.78 = 117,370.24 : x
  2. Step 2: Convert to fraction form
    212,002/318,049.78 = 117,370.24/x
  3. Step 3: Cross multiply
    212,002x = 318,049.78 × 117,370.24
  4. Step 4: Simplify right side
    212,002x = 37,329,579,010.55
  5. Step 5: Solve for x
    x = 37,329,579,010.55/212,002
  6. Step 6: Final answer
    x = 176,081.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.