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Finding the Fourth Proportional to 65,782.65, 98,674.88 and 21,409.64

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Solution

The fourth proportional to 65,782.65, 98,674.88 and 21,409.64 is: 32,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,782.65 : 98,674.88 = 21,409.64 : x
  2. Step 2: Convert to fraction form
    65,782.65/98,674.88 = 21,409.64/x
  3. Step 3: Cross multiply
    65,782.65x = 98,674.88 × 21,409.64
  4. Step 4: Simplify right side
    65,782.65x = 2,112,593,057.42
  5. Step 5: Solve for x
    x = 2,112,593,057.42/65,782.65
  6. Step 6: Final answer
    x = 32,114.75

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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.