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Finding the Fourth Proportional to 265,154, 365,912.58 and 145,922

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Solution

The fourth proportional to 265,154, 365,912.58 and 145,922 is: 201,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,154 : 365,912.58 = 145,922 : x
  2. Step 2: Convert to fraction form
    265,154/365,912.58 = 145,922/x
  3. Step 3: Cross multiply
    265,154x = 365,912.58 × 145,922
  4. Step 4: Simplify right side
    265,154x = 53,394,695,498.76
  5. Step 5: Solve for x
    x = 53,394,695,498.76/265,154
  6. Step 6: Final answer
    x = 201,372.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.