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Finding the Fourth Proportional to 209,946.72, 314,910.48 and 67,798.56

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Solution

The fourth proportional to 209,946.72, 314,910.48 and 67,798.56 is: 101,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,946.72 : 314,910.48 = 67,798.56 : x
  2. Step 2: Convert to fraction form
    209,946.72/314,910.48 = 67,798.56/x
  3. Step 3: Cross multiply
    209,946.72x = 314,910.48 × 67,798.56
  4. Step 4: Simplify right side
    209,946.72x = 21,350,477,072.91
  5. Step 5: Solve for x
    x = 21,350,477,072.91/209,946.72
  6. Step 6: Final answer
    x = 101,694.74

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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.