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Finding the Fourth Proportional to 209,287.64, 313,773.37 and 107,977.16

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Solution

The fourth proportional to 209,287.64, 313,773.37 and 107,977.16 is: 161,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,287.64 : 313,773.37 = 107,977.16 : x
  2. Step 2: Convert to fraction form
    209,287.64/313,773.37 = 107,977.16/x
  3. Step 3: Cross multiply
    209,287.64x = 313,773.37 × 107,977.16
  4. Step 4: Simplify right side
    209,287.64x = 33,880,357,376.23
  5. Step 5: Solve for x
    x = 33,880,357,376.23/209,287.64
  6. Step 6: Final answer
    x = 161,884.18

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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.