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Finding the Fourth Proportional to 65,734.40, 98,601.60 and 54,653.60

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Solution

The fourth proportional to 65,734.40, 98,601.60 and 54,653.60 is: 81,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,734.40 : 98,601.60 = 54,653.60 : x
  2. Step 2: Convert to fraction form
    65,734.40/98,601.60 = 54,653.60/x
  3. Step 3: Cross multiply
    65,734.40x = 98,601.60 × 54,653.60
  4. Step 4: Simplify right side
    65,734.40x = 5,388,932,405.76
  5. Step 5: Solve for x
    x = 5,388,932,405.76/65,734.40
  6. Step 6: Final answer
    x = 81,980.40

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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.