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Finding the Fourth Proportional to 209,449.80, 314,196.54 and 67,259.16

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Solution

The fourth proportional to 209,449.80, 314,196.54 and 67,259.16 is: 100,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,449.80 : 314,196.54 = 67,259.16 : x
  2. Step 2: Convert to fraction form
    209,449.80/314,196.54 = 67,259.16/x
  3. Step 3: Cross multiply
    209,449.80x = 314,196.54 × 67,259.16
  4. Step 4: Simplify right side
    209,449.80x = 21,132,595,355.31
  5. Step 5: Solve for x
    x = 21,132,595,355.31/209,449.80
  6. Step 6: Final answer
    x = 100,895.75

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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.