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Finding the Fourth Proportional to 65,615.96, 98,399.64 and 21,231.20

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Solution

The fourth proportional to 65,615.96, 98,399.64 and 21,231.20 is: 31,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,615.96 : 98,399.64 = 21,231.20 : x
  2. Step 2: Convert to fraction form
    65,615.96/98,399.64 = 21,231.20/x
  3. Step 3: Cross multiply
    65,615.96x = 98,399.64 × 21,231.20
  4. Step 4: Simplify right side
    65,615.96x = 2,089,142,436.77
  5. Step 5: Solve for x
    x = 2,089,142,436.77/65,615.96
  6. Step 6: Final answer
    x = 31,838.94

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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.