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Finding the Fourth Proportional to 209,904.32, 314,700.96 and 126,778.88

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Solution

The fourth proportional to 209,904.32, 314,700.96 and 126,778.88 is: 190,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,904.32 : 314,700.96 = 126,778.88 : x
  2. Step 2: Convert to fraction form
    209,904.32/314,700.96 = 126,778.88/x
  3. Step 3: Cross multiply
    209,904.32x = 314,700.96 × 126,778.88
  4. Step 4: Simplify right side
    209,904.32x = 39,897,435,243.72
  5. Step 5: Solve for x
    x = 39,897,435,243.72/209,904.32
  6. Step 6: Final answer
    x = 190,074.39

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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.