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Finding the Fourth Proportional to 65,728.80, 98,420.40 and 48,103.20

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Solution

The fourth proportional to 65,728.80, 98,420.40 and 48,103.20 is: 72,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728.80 : 98,420.40 = 48,103.20 : x
  2. Step 2: Convert to fraction form
    65,728.80/98,420.40 = 48,103.20/x
  3. Step 3: Cross multiply
    65,728.80x = 98,420.40 × 48,103.20
  4. Step 4: Simplify right side
    65,728.80x = 4,734,336,185.28
  5. Step 5: Solve for x
    x = 4,734,336,185.28/65,728.80
  6. Step 6: Final answer
    x = 72,028.34

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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.