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Finding the Fourth Proportional to 201,657.21, 302,531.34 and 66,720.96

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Solution

The fourth proportional to 201,657.21, 302,531.34 and 66,720.96 is: 100,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,657.21 : 302,531.34 = 66,720.96 : x
  2. Step 2: Convert to fraction form
    201,657.21/302,531.34 = 66,720.96/x
  3. Step 3: Cross multiply
    201,657.21x = 302,531.34 × 66,720.96
  4. Step 4: Simplify right side
    201,657.21x = 20,185,181,434.89
  5. Step 5: Solve for x
    x = 20,185,181,434.89/201,657.21
  6. Step 6: Final answer
    x = 100,096.50

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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.