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Finding the Fourth Proportional to 258,201.67, 356,351.66 and 145,024.42

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Solution

The fourth proportional to 258,201.67, 356,351.66 and 145,024.42 is: 200,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,201.67 : 356,351.66 = 145,024.42 : x
  2. Step 2: Convert to fraction form
    258,201.67/356,351.66 = 145,024.42/x
  3. Step 3: Cross multiply
    258,201.67x = 356,351.66 × 145,024.42
  4. Step 4: Simplify right side
    258,201.67x = 51,679,692,082.42
  5. Step 5: Solve for x
    x = 51,679,692,082.42/258,201.67
  6. Step 6: Final answer
    x = 200,152.43

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1.5x scale

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.