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Finding the Fourth Proportional to 161,303, 222,598.14 and 90,647

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Solution

The fourth proportional to 161,303, 222,598.14 and 90,647 is: 125,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,303 : 222,598.14 = 90,647 : x
  2. Step 2: Convert to fraction form
    161,303/222,598.14 = 90,647/x
  3. Step 3: Cross multiply
    161,303x = 222,598.14 × 90,647
  4. Step 4: Simplify right side
    161,303x = 20,177,853,596.58
  5. Step 5: Solve for x
    x = 20,177,853,596.58/161,303
  6. Step 6: Final answer
    x = 125,092.86

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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.