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Finding the Fourth Proportional to 209,643.72, 314,389.44 and 91,286.52

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Solution

The fourth proportional to 209,643.72, 314,389.44 and 91,286.52 is: 136,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,643.72 : 314,389.44 = 91,286.52 : x
  2. Step 2: Convert to fraction form
    209,643.72/314,389.44 = 91,286.52/x
  3. Step 3: Cross multiply
    209,643.72x = 314,389.44 × 91,286.52
  4. Step 4: Simplify right side
    209,643.72x = 28,699,517,902.35
  5. Step 5: Solve for x
    x = 28,699,517,902.35/209,643.72
  6. Step 6: Final answer
    x = 136,896.63

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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.