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Finding the Fourth Proportional to 43,686.72, 65,536.32 and 15,978.24

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Solution

The fourth proportional to 43,686.72, 65,536.32 and 15,978.24 is: 23,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,686.72 : 65,536.32 = 15,978.24 : x
  2. Step 2: Convert to fraction form
    43,686.72/65,536.32 = 15,978.24/x
  3. Step 3: Cross multiply
    43,686.72x = 65,536.32 × 15,978.24
  4. Step 4: Simplify right side
    43,686.72x = 1,047,155,049.68
  5. Step 5: Solve for x
    x = 1,047,155,049.68/43,686.72
  6. Step 6: Final answer
    x = 23,969.64

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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.