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Finding the Fourth Proportional to 55,287, 76,296.08 and 31,413.70

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Solution

The fourth proportional to 55,287, 76,296.08 and 31,413.70 is: 43,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,287 : 76,296.08 = 31,413.70 : x
  2. Step 2: Convert to fraction form
    55,287/76,296.08 = 31,413.70/x
  3. Step 3: Cross multiply
    55,287x = 76,296.08 × 31,413.70
  4. Step 4: Simplify right side
    55,287x = 2,396,742,168.30
  5. Step 5: Solve for x
    x = 2,396,742,168.30/55,287
  6. Step 6: Final answer
    x = 43,350.92

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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.