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Finding the Fourth Proportional to 212,536.88, 318,017.84 and 156,418.44

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Solution

The fourth proportional to 212,536.88, 318,017.84 and 156,418.44 is: 234,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,536.88 : 318,017.84 = 156,418.44 : x
  2. Step 2: Convert to fraction form
    212,536.88/318,017.84 = 156,418.44/x
  3. Step 3: Cross multiply
    212,536.88x = 318,017.84 × 156,418.44
  4. Step 4: Simplify right side
    212,536.88x = 49,743,854,424.97
  5. Step 5: Solve for x
    x = 49,743,854,424.97/212,536.88
  6. Step 6: Final answer
    x = 234,048.11

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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.