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Finding the Fourth Proportional to 65,350.80, 97,896.60 and 38,977.20

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Solution

The fourth proportional to 65,350.80, 97,896.60 and 38,977.20 is: 58,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,350.80 : 97,896.60 = 38,977.20 : x
  2. Step 2: Convert to fraction form
    65,350.80/97,896.60 = 38,977.20/x
  3. Step 3: Cross multiply
    65,350.80x = 97,896.60 × 38,977.20
  4. Step 4: Simplify right side
    65,350.80x = 3,815,735,357.52
  5. Step 5: Solve for x
    x = 3,815,735,357.52/65,350.80
  6. Step 6: Final answer
    x = 58,388.50

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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.