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Finding the Fourth Proportional to 172,388.90, 258,583.35 and 133,022.90

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Solution

The fourth proportional to 172,388.90, 258,583.35 and 133,022.90 is: 199,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,388.90 : 258,583.35 = 133,022.90 : x
  2. Step 2: Convert to fraction form
    172,388.90/258,583.35 = 133,022.90/x
  3. Step 3: Cross multiply
    172,388.90x = 258,583.35 × 133,022.90
  4. Step 4: Simplify right side
    172,388.90x = 34,397,507,108.72
  5. Step 5: Solve for x
    x = 34,397,507,108.72/172,388.90
  6. Step 6: Final answer
    x = 199,534.35

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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.