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Finding the Fourth Proportional to 209,394.09, 314,061.48 and 67,220.64

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Solution

The fourth proportional to 209,394.09, 314,061.48 and 67,220.64 is: 100,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,394.09 : 314,061.48 = 67,220.64 : x
  2. Step 2: Convert to fraction form
    209,394.09/314,061.48 = 67,220.64/x
  3. Step 3: Cross multiply
    209,394.09x = 314,061.48 × 67,220.64
  4. Step 4: Simplify right side
    209,394.09x = 21,111,413,684.95
  5. Step 5: Solve for x
    x = 21,111,413,684.95/209,394.09
  6. Step 6: Final answer
    x = 100,821.44

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1.5x scale

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.