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Finding the Fourth Proportional to 221,683.22, 305,813.23 and 130,995.31

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Solution

The fourth proportional to 221,683.22, 305,813.23 and 130,995.31 is: 180,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,683.22 : 305,813.23 = 130,995.31 : x
  2. Step 2: Convert to fraction form
    221,683.22/305,813.23 = 130,995.31/x
  3. Step 3: Cross multiply
    221,683.22x = 305,813.23 × 130,995.31
  4. Step 4: Simplify right side
    221,683.22x = 40,060,098,865.95
  5. Step 5: Solve for x
    x = 40,060,098,865.95/221,683.22
  6. Step 6: Final answer
    x = 180,708.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.