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Finding the Fourth Proportional to 212,633.45, 318,839.44 and 100,283.50

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Solution

The fourth proportional to 212,633.45, 318,839.44 and 100,283.50 is: 150,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,633.45 : 318,839.44 = 100,283.50 : x
  2. Step 2: Convert to fraction form
    212,633.45/318,839.44 = 100,283.50/x
  3. Step 3: Cross multiply
    212,633.45x = 318,839.44 × 100,283.50
  4. Step 4: Simplify right side
    212,633.45x = 31,974,334,981.24
  5. Step 5: Solve for x
    x = 31,974,334,981.24/212,633.45
  6. Step 6: Final answer
    x = 150,373.02

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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.