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Finding the Fourth Proportional to 43,620.80, 65,431.20 and 31,812.80

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Solution

The fourth proportional to 43,620.80, 65,431.20 and 31,812.80 is: 47,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,620.80 : 65,431.20 = 31,812.80 : x
  2. Step 2: Convert to fraction form
    43,620.80/65,431.20 = 31,812.80/x
  3. Step 3: Cross multiply
    43,620.80x = 65,431.20 × 31,812.80
  4. Step 4: Simplify right side
    43,620.80x = 2,081,549,679.36
  5. Step 5: Solve for x
    x = 2,081,549,679.36/43,620.80
  6. Step 6: Final answer
    x = 47,719.20

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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.