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Finding the Fourth Proportional to 97,193.80, 145,401.90 and 84,190.60

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Solution

The fourth proportional to 97,193.80, 145,401.90 and 84,190.60 is: 125,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,193.80 : 145,401.90 = 84,190.60 : x
  2. Step 2: Convert to fraction form
    97,193.80/145,401.90 = 84,190.60/x
  3. Step 3: Cross multiply
    97,193.80x = 145,401.90 × 84,190.60
  4. Step 4: Simplify right side
    97,193.80x = 12,241,473,202.14
  5. Step 5: Solve for x
    x = 12,241,473,202.14/97,193.80
  6. Step 6: Final answer
    x = 125,949.12

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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.