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Finding the Fourth Proportional to 145,760.50, 201,163.80 and 85,327.48

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Solution

The fourth proportional to 145,760.50, 201,163.80 and 85,327.48 is: 117,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,760.50 : 201,163.80 = 85,327.48 : x
  2. Step 2: Convert to fraction form
    145,760.50/201,163.80 = 85,327.48/x
  3. Step 3: Cross multiply
    145,760.50x = 201,163.80 × 85,327.48
  4. Step 4: Simplify right side
    145,760.50x = 17,164,800,121.22
  5. Step 5: Solve for x
    x = 17,164,800,121.22/145,760.50
  6. Step 6: Final answer
    x = 117,760.30

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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.