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Finding the Fourth Proportional to 201,929.20, 302,634.60 and 122,959.60

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Solution

The fourth proportional to 201,929.20, 302,634.60 and 122,959.60 is: 184,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,929.20 : 302,634.60 = 122,959.60 : x
  2. Step 2: Convert to fraction form
    201,929.20/302,634.60 = 122,959.60/x
  3. Step 3: Cross multiply
    201,929.20x = 302,634.60 × 122,959.60
  4. Step 4: Simplify right side
    201,929.20x = 37,211,829,362.16
  5. Step 5: Solve for x
    x = 37,211,829,362.16/201,929.20
  6. Step 6: Final answer
    x = 184,281.57

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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.