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Finding the Fourth Proportional to 98,983.60, 148,183.80 and 65,741.20

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Solution

The fourth proportional to 98,983.60, 148,183.80 and 65,741.20 is: 98,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,983.60 : 148,183.80 = 65,741.20 : x
  2. Step 2: Convert to fraction form
    98,983.60/148,183.80 = 65,741.20/x
  3. Step 3: Cross multiply
    98,983.60x = 148,183.80 × 65,741.20
  4. Step 4: Simplify right side
    98,983.60x = 9,741,780,832.56
  5. Step 5: Solve for x
    x = 9,741,780,832.56/98,983.60
  6. Step 6: Final answer
    x = 98,418.13

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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.