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Finding the Fourth Proportional to 43,403, 65,111 and 15,707.48

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Solution

The fourth proportional to 43,403, 65,111 and 15,707.48 is: 23,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,403 : 65,111 = 15,707.48 : x
  2. Step 2: Convert to fraction form
    43,403/65,111 = 15,707.48/x
  3. Step 3: Cross multiply
    43,403x = 65,111 × 15,707.48
  4. Step 4: Simplify right side
    43,403x = 1,022,729,730.28
  5. Step 5: Solve for x
    x = 1,022,729,730.28/43,403
  6. Step 6: Final answer
    x = 23,563.57

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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.