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Finding the Fourth Proportional to 161,304, 222,599.52 and 90,648

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Solution

The fourth proportional to 161,304, 222,599.52 and 90,648 is: 125,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,304 : 222,599.52 = 90,648 : x
  2. Step 2: Convert to fraction form
    161,304/222,599.52 = 90,648/x
  3. Step 3: Cross multiply
    161,304x = 222,599.52 × 90,648
  4. Step 4: Simplify right side
    161,304x = 20,178,201,288.96
  5. Step 5: Solve for x
    x = 20,178,201,288.96/161,304
  6. Step 6: Final answer
    x = 125,094.24

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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.