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Finding the Fourth Proportional to 212,328, 318,541.21 and 72,086.63

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Solution

The fourth proportional to 212,328, 318,541.21 and 72,086.63 is: 108,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,328 : 318,541.21 = 72,086.63 : x
  2. Step 2: Convert to fraction form
    212,328/318,541.21 = 72,086.63/x
  3. Step 3: Cross multiply
    212,328x = 318,541.21 × 72,086.63
  4. Step 4: Simplify right side
    212,328x = 22,962,560,572.10
  5. Step 5: Solve for x
    x = 22,962,560,572.10/212,328
  6. Step 6: Final answer
    x = 108,146.64

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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.