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Finding the Fourth Proportional to 47,200, 65,135.20 and 25,978.84

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Solution

The fourth proportional to 47,200, 65,135.20 and 25,978.84 is: 35,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200 : 65,135.20 = 25,978.84 : x
  2. Step 2: Convert to fraction form
    47,200/65,135.20 = 25,978.84/x
  3. Step 3: Cross multiply
    47,200x = 65,135.20 × 25,978.84
  4. Step 4: Simplify right side
    47,200x = 1,692,136,939.17
  5. Step 5: Solve for x
    x = 1,692,136,939.17/47,200
  6. Step 6: Final answer
    x = 35,850.36

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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.