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Finding the Fourth Proportional to 209,670.25, 314,507.81 and 51,900.07

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Solution

The fourth proportional to 209,670.25, 314,507.81 and 51,900.07 is: 77,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,670.25 : 314,507.81 = 51,900.07 : x
  2. Step 2: Convert to fraction form
    209,670.25/314,507.81 = 51,900.07/x
  3. Step 3: Cross multiply
    209,670.25x = 314,507.81 × 51,900.07
  4. Step 4: Simplify right side
    209,670.25x = 16,322,977,354.55
  5. Step 5: Solve for x
    x = 16,322,977,354.55/209,670.25
  6. Step 6: Final answer
    x = 77,850.71

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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.