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Finding the Fourth Proportional to 65,205.78, 97,845 and 35,219.41

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Solution

The fourth proportional to 65,205.78, 97,845 and 35,219.41 is: 52,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.78 : 97,845 = 35,219.41 : x
  2. Step 2: Convert to fraction form
    65,205.78/97,845 = 35,219.41/x
  3. Step 3: Cross multiply
    65,205.78x = 97,845 × 35,219.41
  4. Step 4: Simplify right side
    65,205.78x = 3,446,043,171.45
  5. Step 5: Solve for x
    x = 3,446,043,171.45/65,205.78
  6. Step 6: Final answer
    x = 52,848.74

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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.