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Finding the Fourth Proportional to 199,816.34, 299,727.81 and 66,697.29

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Solution

The fourth proportional to 199,816.34, 299,727.81 and 66,697.29 is: 100,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,816.34 : 299,727.81 = 66,697.29 : x
  2. Step 2: Convert to fraction form
    199,816.34/299,727.81 = 66,697.29/x
  3. Step 3: Cross multiply
    199,816.34x = 299,727.81 × 66,697.29
  4. Step 4: Simplify right side
    199,816.34x = 19,991,032,664.63
  5. Step 5: Solve for x
    x = 19,991,032,664.63/199,816.34
  6. Step 6: Final answer
    x = 100,047.04

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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.