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Finding the Fourth Proportional to 221,618.50, 305,726.80 and 145,103.87

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Solution

The fourth proportional to 221,618.50, 305,726.80 and 145,103.87 is: 200,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,618.50 : 305,726.80 = 145,103.87 : x
  2. Step 2: Convert to fraction form
    221,618.50/305,726.80 = 145,103.87/x
  3. Step 3: Cross multiply
    221,618.50x = 305,726.80 × 145,103.87
  4. Step 4: Simplify right side
    221,618.50x = 44,362,141,842.72
  5. Step 5: Solve for x
    x = 44,362,141,842.72/221,618.50
  6. Step 6: Final answer
    x = 200,173.46

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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.