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Finding the Fourth Proportional to 201,830.20, 302,486.10 and 122,860.60

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Solution

The fourth proportional to 201,830.20, 302,486.10 and 122,860.60 is: 184,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,830.20 : 302,486.10 = 122,860.60 : x
  2. Step 2: Convert to fraction form
    201,830.20/302,486.10 = 122,860.60/x
  3. Step 3: Cross multiply
    201,830.20x = 302,486.10 × 122,860.60
  4. Step 4: Simplify right side
    201,830.20x = 37,163,623,737.66
  5. Step 5: Solve for x
    x = 37,163,623,737.66/201,830.20
  6. Step 6: Final answer
    x = 184,133.12

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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.