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Finding the Fourth Proportional to 65,204.20, 97,807.02 and 20,830.60

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Solution

The fourth proportional to 65,204.20, 97,807.02 and 20,830.60 is: 31,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,204.20 : 97,807.02 = 20,830.60 : x
  2. Step 2: Convert to fraction form
    65,204.20/97,807.02 = 20,830.60/x
  3. Step 3: Cross multiply
    65,204.20x = 97,807.02 × 20,830.60
  4. Step 4: Simplify right side
    65,204.20x = 2,037,378,910.81
  5. Step 5: Solve for x
    x = 2,037,378,910.81/65,204.20
  6. Step 6: Final answer
    x = 31,246.13

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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.