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Finding the Fourth Proportional to 70,831.80, 106,017.30 and 55,164.60

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Solution

The fourth proportional to 70,831.80, 106,017.30 and 55,164.60 is: 82,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,831.80 : 106,017.30 = 55,164.60 : x
  2. Step 2: Convert to fraction form
    70,831.80/106,017.30 = 55,164.60/x
  3. Step 3: Cross multiply
    70,831.80x = 106,017.30 × 55,164.60
  4. Step 4: Simplify right side
    70,831.80x = 5,848,401,947.58
  5. Step 5: Solve for x
    x = 5,848,401,947.58/70,831.80
  6. Step 6: Final answer
    x = 82,567.46

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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.