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Finding the Fourth Proportional to 131,842.66, 181,942.91 and 71,413.12

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Solution

The fourth proportional to 131,842.66, 181,942.91 and 71,413.12 is: 98,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,842.66 : 181,942.91 = 71,413.12 : x
  2. Step 2: Convert to fraction form
    131,842.66/181,942.91 = 71,413.12/x
  3. Step 3: Cross multiply
    131,842.66x = 181,942.91 × 71,413.12
  4. Step 4: Simplify right side
    131,842.66x = 12,993,109,598.20
  5. Step 5: Solve for x
    x = 12,993,109,598.20/131,842.66
  6. Step 6: Final answer
    x = 98,550.12

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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.