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Finding the Fourth Proportional to 209,829.20, 314,729.40 and 67,672.40

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Solution

The fourth proportional to 209,829.20, 314,729.40 and 67,672.40 is: 101,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,829.20 : 314,729.40 = 67,672.40 : x
  2. Step 2: Convert to fraction form
    209,829.20/314,729.40 = 67,672.40/x
  3. Step 3: Cross multiply
    209,829.20x = 314,729.40 × 67,672.40
  4. Step 4: Simplify right side
    209,829.20x = 21,298,493,848.56
  5. Step 5: Solve for x
    x = 21,298,493,848.56/209,829.20
  6. Step 6: Final answer
    x = 101,503.96

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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.