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Finding the Fourth Proportional to 181,954.40, 272,413.20 and 161,218.40

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Solution

The fourth proportional to 181,954.40, 272,413.20 and 161,218.40 is: 241,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,954.40 : 272,413.20 = 161,218.40 : x
  2. Step 2: Convert to fraction form
    181,954.40/272,413.20 = 161,218.40/x
  3. Step 3: Cross multiply
    181,954.40x = 272,413.20 × 161,218.40
  4. Step 4: Simplify right side
    181,954.40x = 43,918,020,242.88
  5. Step 5: Solve for x
    x = 43,918,020,242.88/181,954.40
  6. Step 6: Final answer
    x = 241,368.28

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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.