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Finding the Fourth Proportional to 161,480, 222,842.40 and 90,824

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Solution

The fourth proportional to 161,480, 222,842.40 and 90,824 is: 125,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,480 : 222,842.40 = 90,824 : x
  2. Step 2: Convert to fraction form
    161,480/222,842.40 = 90,824/x
  3. Step 3: Cross multiply
    161,480x = 222,842.40 × 90,824
  4. Step 4: Simplify right side
    161,480x = 20,239,438,137.60
  5. Step 5: Solve for x
    x = 20,239,438,137.60/161,480
  6. Step 6: Final answer
    x = 125,337.12

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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.