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Finding the Fourth Proportional to 201,045, 301,543.20 and 66,102.24

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Solution

The fourth proportional to 201,045, 301,543.20 and 66,102.24 is: 99,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,045 : 301,543.20 = 66,102.24 : x
  2. Step 2: Convert to fraction form
    201,045/301,543.20 = 66,102.24/x
  3. Step 3: Cross multiply
    201,045x = 301,543.20 × 66,102.24
  4. Step 4: Simplify right side
    201,045x = 19,932,680,976.77
  5. Step 5: Solve for x
    x = 19,932,680,976.77/201,045
  6. Step 6: Final answer
    x = 99,145.37

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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.