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Finding the Fourth Proportional to 212,314.83, 318,464.01 and 79,194.84

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Solution

The fourth proportional to 212,314.83, 318,464.01 and 79,194.84 is: 118,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,314.83 : 318,464.01 = 79,194.84 : x
  2. Step 2: Convert to fraction form
    212,314.83/318,464.01 = 79,194.84/x
  3. Step 3: Cross multiply
    212,314.83x = 318,464.01 × 79,194.84
  4. Step 4: Simplify right side
    212,314.83x = 25,220,706,317.71
  5. Step 5: Solve for x
    x = 25,220,706,317.71/212,314.83
  6. Step 6: Final answer
    x = 118,789.19

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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.