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Finding the Fourth Proportional to 221,457.50, 305,611.62 and 120,855.50

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Solution

The fourth proportional to 221,457.50, 305,611.62 and 120,855.50 is: 166,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,457.50 : 305,611.62 = 120,855.50 : x
  2. Step 2: Convert to fraction form
    221,457.50/305,611.62 = 120,855.50/x
  3. Step 3: Cross multiply
    221,457.50x = 305,611.62 × 120,855.50
  4. Step 4: Simplify right side
    221,457.50x = 36,934,845,140.91
  5. Step 5: Solve for x
    x = 36,934,845,140.91/221,457.50
  6. Step 6: Final answer
    x = 166,780.74

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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.