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Finding the Fourth Proportional to 65,665.51, 90,621.80 and 40,163.88

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Solution

The fourth proportional to 65,665.51, 90,621.80 and 40,163.88 is: 55,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,665.51 : 90,621.80 = 40,163.88 : x
  2. Step 2: Convert to fraction form
    65,665.51/90,621.80 = 40,163.88/x
  3. Step 3: Cross multiply
    65,665.51x = 90,621.80 × 40,163.88
  4. Step 4: Simplify right side
    65,665.51x = 3,639,723,100.58
  5. Step 5: Solve for x
    x = 3,639,723,100.58/65,665.51
  6. Step 6: Final answer
    x = 55,428.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.