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Finding the Fourth Proportional to 200,094.02, 300,065.70 and 81,702

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Solution

The fourth proportional to 200,094.02, 300,065.70 and 81,702 is: 122,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,094.02 : 300,065.70 = 81,702 : x
  2. Step 2: Convert to fraction form
    200,094.02/300,065.70 = 81,702/x
  3. Step 3: Cross multiply
    200,094.02x = 300,065.70 × 81,702
  4. Step 4: Simplify right side
    200,094.02x = 24,515,967,821.40
  5. Step 5: Solve for x
    x = 24,515,967,821.40/200,094.02
  6. Step 6: Final answer
    x = 122,522.24

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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.