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Finding the Fourth Proportional to 65,288.80, 97,965.60 and 37,230.40

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Solution

The fourth proportional to 65,288.80, 97,965.60 and 37,230.40 is: 55,864.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,288.80 : 97,965.60 = 37,230.40 : x
  2. Step 2: Convert to fraction form
    65,288.80/97,965.60 = 37,230.40/x
  3. Step 3: Cross multiply
    65,288.80x = 97,965.60 × 37,230.40
  4. Step 4: Simplify right side
    65,288.80x = 3,647,298,474.24
  5. Step 5: Solve for x
    x = 3,647,298,474.24/65,288.80
  6. Step 6: Final answer
    x = 55,864.08

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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.