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Finding the Fourth Proportional to 66,869.20, 100,271.40 and 37,255.60

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Solution

The fourth proportional to 66,869.20, 100,271.40 and 37,255.60 is: 55,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,869.20 : 100,271.40 = 37,255.60 : x
  2. Step 2: Convert to fraction form
    66,869.20/100,271.40 = 37,255.60/x
  3. Step 3: Cross multiply
    66,869.20x = 100,271.40 × 37,255.60
  4. Step 4: Simplify right side
    66,869.20x = 3,735,671,169.84
  5. Step 5: Solve for x
    x = 3,735,671,169.84/66,869.20
  6. Step 6: Final answer
    x = 55,865.35

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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.