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Finding the Fourth Proportional to 65,236.80, 97,790.40 and 31,929.60

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Solution

The fourth proportional to 65,236.80, 97,790.40 and 31,929.60 is: 47,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,236.80 : 97,790.40 = 31,929.60 : x
  2. Step 2: Convert to fraction form
    65,236.80/97,790.40 = 31,929.60/x
  3. Step 3: Cross multiply
    65,236.80x = 97,790.40 × 31,929.60
  4. Step 4: Simplify right side
    65,236.80x = 3,122,408,355.84
  5. Step 5: Solve for x
    x = 3,122,408,355.84/65,236.80
  6. Step 6: Final answer
    x = 47,862.68

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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.