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Finding the Fourth Proportional to 65,600.64, 98,415.27 and 21,231.86

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Solution

The fourth proportional to 65,600.64, 98,415.27 and 21,231.86 is: 31,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,600.64 : 98,415.27 = 21,231.86 : x
  2. Step 2: Convert to fraction form
    65,600.64/98,415.27 = 21,231.86/x
  3. Step 3: Cross multiply
    65,600.64x = 98,415.27 × 21,231.86
  4. Step 4: Simplify right side
    65,600.64x = 2,089,538,742.43
  5. Step 5: Solve for x
    x = 2,089,538,742.43/65,600.64
  6. Step 6: Final answer
    x = 31,852.41

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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.