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Finding the Fourth Proportional to 65,794.68, 98,690.40 and 20,819.16

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Solution

The fourth proportional to 65,794.68, 98,690.40 and 20,819.16 is: 31,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,794.68 : 98,690.40 = 20,819.16 : x
  2. Step 2: Convert to fraction form
    65,794.68/98,690.40 = 20,819.16/x
  3. Step 3: Cross multiply
    65,794.68x = 98,690.40 × 20,819.16
  4. Step 4: Simplify right side
    65,794.68x = 2,054,651,228.06
  5. Step 5: Solve for x
    x = 2,054,651,228.06/65,794.68
  6. Step 6: Final answer
    x = 31,228.23

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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.