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Finding the Fourth Proportional to 65,228.60, 97,850.10 and 20,847.80

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Solution

The fourth proportional to 65,228.60, 97,850.10 and 20,847.80 is: 31,274.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228.60 : 97,850.10 = 20,847.80 : x
  2. Step 2: Convert to fraction form
    65,228.60/97,850.10 = 20,847.80/x
  3. Step 3: Cross multiply
    65,228.60x = 97,850.10 × 20,847.80
  4. Step 4: Simplify right side
    65,228.60x = 2,039,959,314.78
  5. Step 5: Solve for x
    x = 2,039,959,314.78/65,228.60
  6. Step 6: Final answer
    x = 31,274.00

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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.