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Finding the Fourth Proportional to 212,369, 318,553.50 and 64,625

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Solution

The fourth proportional to 212,369, 318,553.50 and 64,625 is: 96,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,369 : 318,553.50 = 64,625 : x
  2. Step 2: Convert to fraction form
    212,369/318,553.50 = 64,625/x
  3. Step 3: Cross multiply
    212,369x = 318,553.50 × 64,625
  4. Step 4: Simplify right side
    212,369x = 20,586,519,937.50
  5. Step 5: Solve for x
    x = 20,586,519,937.50/212,369
  6. Step 6: Final answer
    x = 96,937.50

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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.