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Finding the Fourth Proportional to 97,221.53, 145,850.45 and 66,954.30

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Solution

The fourth proportional to 97,221.53, 145,850.45 and 66,954.30 is: 100,443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,221.53 : 145,850.45 = 66,954.30 : x
  2. Step 2: Convert to fraction form
    97,221.53/145,850.45 = 66,954.30/x
  3. Step 3: Cross multiply
    97,221.53x = 145,850.45 × 66,954.30
  4. Step 4: Simplify right side
    97,221.53x = 9,765,315,038.62
  5. Step 5: Solve for x
    x = 9,765,315,038.62/97,221.53
  6. Step 6: Final answer
    x = 100,443.96

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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.