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Finding the Fourth Proportional to 107,831.88, 148,817.52 and 65,413.80

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Solution

The fourth proportional to 107,831.88, 148,817.52 and 65,413.80 is: 90,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,831.88 : 148,817.52 = 65,413.80 : x
  2. Step 2: Convert to fraction form
    107,831.88/148,817.52 = 65,413.80/x
  3. Step 3: Cross multiply
    107,831.88x = 148,817.52 × 65,413.80
  4. Step 4: Simplify right side
    107,831.88x = 9,734,719,489.78
  5. Step 5: Solve for x
    x = 9,734,719,489.78/107,831.88
  6. Step 6: Final answer
    x = 90,276.82

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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.