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Finding the Fourth Proportional to 127,271.40, 190,928.70 and 38,524.20

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Solution

The fourth proportional to 127,271.40, 190,928.70 and 38,524.20 is: 57,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,271.40 : 190,928.70 = 38,524.20 : x
  2. Step 2: Convert to fraction form
    127,271.40/190,928.70 = 38,524.20/x
  3. Step 3: Cross multiply
    127,271.40x = 190,928.70 × 38,524.20
  4. Step 4: Simplify right side
    127,271.40x = 7,355,375,424.54
  5. Step 5: Solve for x
    x = 7,355,375,424.54/127,271.40
  6. Step 6: Final answer
    x = 57,792.84

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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.