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Finding the Fourth Proportional to 61,690.69, 85,132.49 and 34,831.60

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Solution

The fourth proportional to 61,690.69, 85,132.49 and 34,831.60 is: 48,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,690.69 : 85,132.49 = 34,831.60 : x
  2. Step 2: Convert to fraction form
    61,690.69/85,132.49 = 34,831.60/x
  3. Step 3: Cross multiply
    61,690.69x = 85,132.49 × 34,831.60
  4. Step 4: Simplify right side
    61,690.69x = 2,965,300,413.02
  5. Step 5: Solve for x
    x = 2,965,300,413.02/61,690.69
  6. Step 6: Final answer
    x = 48,067.23

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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.