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Finding the Fourth Proportional to 200,750.11, 301,142.86 and 56,657.21

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Solution

The fourth proportional to 200,750.11, 301,142.86 and 56,657.21 is: 84,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,750.11 : 301,142.86 = 56,657.21 : x
  2. Step 2: Convert to fraction form
    200,750.11/301,142.86 = 56,657.21/x
  3. Step 3: Cross multiply
    200,750.11x = 301,142.86 × 56,657.21
  4. Step 4: Simplify right side
    200,750.11x = 17,061,912,611.66
  5. Step 5: Solve for x
    x = 17,061,912,611.66/200,750.11
  6. Step 6: Final answer
    x = 84,990.80

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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.