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Finding the Fourth Proportional to 201,225.90, 301,401.45 and 122,202.30

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Solution

The fourth proportional to 201,225.90, 301,401.45 and 122,202.30 is: 183,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,225.90 : 301,401.45 = 122,202.30 : x
  2. Step 2: Convert to fraction form
    201,225.90/301,401.45 = 122,202.30/x
  3. Step 3: Cross multiply
    201,225.90x = 301,401.45 × 122,202.30
  4. Step 4: Simplify right side
    201,225.90x = 36,831,950,413.34
  5. Step 5: Solve for x
    x = 36,831,950,413.34/201,225.90
  6. Step 6: Final answer
    x = 183,037.82

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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.