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Finding the Fourth Proportional to 209,638.80, 314,361.41 and 67,457.61

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Solution

The fourth proportional to 209,638.80, 314,361.41 and 67,457.61 is: 101,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,638.80 : 314,361.41 = 67,457.61 : x
  2. Step 2: Convert to fraction form
    209,638.80/314,361.41 = 67,457.61/x
  3. Step 3: Cross multiply
    209,638.80x = 314,361.41 × 67,457.61
  4. Step 4: Simplify right side
    209,638.80x = 21,206,069,057.54
  5. Step 5: Solve for x
    x = 21,206,069,057.54/209,638.80
  6. Step 6: Final answer
    x = 101,155.27

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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.