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Finding the Fourth Proportional to 121,608, 182,412.81 and 38,502

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Solution

The fourth proportional to 121,608, 182,412.81 and 38,502 is: 57,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,608 : 182,412.81 = 38,502 : x
  2. Step 2: Convert to fraction form
    121,608/182,412.81 = 38,502/x
  3. Step 3: Cross multiply
    121,608x = 182,412.81 × 38,502
  4. Step 4: Simplify right side
    121,608x = 7,023,258,010.62
  5. Step 5: Solve for x
    x = 7,023,258,010.62/121,608
  6. Step 6: Final answer
    x = 57,753.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.