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Finding the Fourth Proportional to 43,561.64, 65,350.98 and 13,977.20

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Solution

The fourth proportional to 43,561.64, 65,350.98 and 13,977.20 is: 20,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,561.64 : 65,350.98 = 13,977.20 : x
  2. Step 2: Convert to fraction form
    43,561.64/65,350.98 = 13,977.20/x
  3. Step 3: Cross multiply
    43,561.64x = 65,350.98 × 13,977.20
  4. Step 4: Simplify right side
    43,561.64x = 913,423,881.03
  5. Step 5: Solve for x
    x = 913,423,881.03/43,561.64
  6. Step 6: Final answer
    x = 20,968.54

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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.