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Finding the Fourth Proportional to 209,778.80, 314,543.72 and 83,351.21

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Solution

The fourth proportional to 209,778.80, 314,543.72 and 83,351.21 is: 124,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,778.80 : 314,543.72 = 83,351.21 : x
  2. Step 2: Convert to fraction form
    209,778.80/314,543.72 = 83,351.21/x
  3. Step 3: Cross multiply
    209,778.80x = 314,543.72 × 83,351.21
  4. Step 4: Simplify right side
    209,778.80x = 26,217,598,295.56
  5. Step 5: Solve for x
    x = 26,217,598,295.56/209,778.80
  6. Step 6: Final answer
    x = 124,977.35

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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.