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Finding the Fourth Proportional to 181,273.68, 272,002.56 and 81,413.40

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Solution

The fourth proportional to 181,273.68, 272,002.56 and 81,413.40 is: 122,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,273.68 : 272,002.56 = 81,413.40 : x
  2. Step 2: Convert to fraction form
    181,273.68/272,002.56 = 81,413.40/x
  3. Step 3: Cross multiply
    181,273.68x = 272,002.56 × 81,413.40
  4. Step 4: Simplify right side
    181,273.68x = 22,144,653,218.30
  5. Step 5: Solve for x
    x = 22,144,653,218.30/181,273.68
  6. Step 6: Final answer
    x = 122,161.44

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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.