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Finding the Fourth Proportional to 212,617.98, 318,938.61 and 86,239.46

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Solution

The fourth proportional to 212,617.98, 318,938.61 and 86,239.46 is: 129,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,617.98 : 318,938.61 = 86,239.46 : x
  2. Step 2: Convert to fraction form
    212,617.98/318,938.61 = 86,239.46/x
  3. Step 3: Cross multiply
    212,617.98x = 318,938.61 × 86,239.46
  4. Step 4: Simplify right side
    212,617.98x = 27,505,093,499.55
  5. Step 5: Solve for x
    x = 27,505,093,499.55/212,617.98
  6. Step 6: Final answer
    x = 129,363.91

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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.