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Finding the Fourth Proportional to 65,200.84, 97,800.21 and 20,827.30

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Solution

The fourth proportional to 65,200.84, 97,800.21 and 20,827.30 is: 31,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.84 : 97,800.21 = 20,827.30 : x
  2. Step 2: Convert to fraction form
    65,200.84/97,800.21 = 20,827.30/x
  3. Step 3: Cross multiply
    65,200.84x = 97,800.21 × 20,827.30
  4. Step 4: Simplify right side
    65,200.84x = 2,036,914,313.73
  5. Step 5: Solve for x
    x = 2,036,914,313.73/65,200.84
  6. Step 6: Final answer
    x = 31,240.61

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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.