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Finding the Fourth Proportional to 265,137, 365,889.12 and 145,905

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Solution

The fourth proportional to 265,137, 365,889.12 and 145,905 is: 201,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,137 : 365,889.12 = 145,905 : x
  2. Step 2: Convert to fraction form
    265,137/365,889.12 = 145,905/x
  3. Step 3: Cross multiply
    265,137x = 365,889.12 × 145,905
  4. Step 4: Simplify right side
    265,137x = 53,385,052,053.60
  5. Step 5: Solve for x
    x = 53,385,052,053.60/265,137
  6. Step 6: Final answer
    x = 201,348.93

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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.