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Finding the Fourth Proportional to 209,391.89, 314,058.18 and 67,218.45

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Solution

The fourth proportional to 209,391.89, 314,058.18 and 67,218.45 is: 100,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,391.89 : 314,058.18 = 67,218.45 : x
  2. Step 2: Convert to fraction form
    209,391.89/314,058.18 = 67,218.45/x
  3. Step 3: Cross multiply
    209,391.89x = 314,058.18 × 67,218.45
  4. Step 4: Simplify right side
    209,391.89x = 21,110,504,069.42
  5. Step 5: Solve for x
    x = 21,110,504,069.42/209,391.89
  6. Step 6: Final answer
    x = 100,818.16

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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.