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Finding the Fourth Proportional to 199,978.04, 299,983 and 66,858.98

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Solution

The fourth proportional to 199,978.04, 299,983 and 66,858.98 is: 100,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,978.04 : 299,983 = 66,858.98 : x
  2. Step 2: Convert to fraction form
    199,978.04/299,983 = 66,858.98/x
  3. Step 3: Cross multiply
    199,978.04x = 299,983 × 66,858.98
  4. Step 4: Simplify right side
    199,978.04x = 20,056,557,397.34
  5. Step 5: Solve for x
    x = 20,056,557,397.34/199,978.04
  6. Step 6: Final answer
    x = 100,293.80

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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.