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Finding the Fourth Proportional to 216,876.80, 325,161.60 and 83,705.60

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Solution

The fourth proportional to 216,876.80, 325,161.60 and 83,705.60 is: 125,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,876.80 : 325,161.60 = 83,705.60 : x
  2. Step 2: Convert to fraction form
    216,876.80/325,161.60 = 83,705.60/x
  3. Step 3: Cross multiply
    216,876.80x = 325,161.60 × 83,705.60
  4. Step 4: Simplify right side
    216,876.80x = 27,217,846,824.96
  5. Step 5: Solve for x
    x = 27,217,846,824.96/216,876.80
  6. Step 6: Final answer
    x = 125,499.12

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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.