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Finding the Fourth Proportional to 65,745.36, 98,550 and 32,420.88

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Solution

The fourth proportional to 65,745.36, 98,550 and 32,420.88 is: 48,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,745.36 : 98,550 = 32,420.88 : x
  2. Step 2: Convert to fraction form
    65,745.36/98,550 = 32,420.88/x
  3. Step 3: Cross multiply
    65,745.36x = 98,550 × 32,420.88
  4. Step 4: Simplify right side
    65,745.36x = 3,195,077,724
  5. Step 5: Solve for x
    x = 3,195,077,724/65,745.36
  6. Step 6: Final answer
    x = 48,597.77

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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.