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Finding the Fourth Proportional to 123,816.69, 185,542.95 and 73,163.64

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Solution

The fourth proportional to 123,816.69, 185,542.95 and 73,163.64 is: 109,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,816.69 : 185,542.95 = 73,163.64 : x
  2. Step 2: Convert to fraction form
    123,816.69/185,542.95 = 73,163.64/x
  3. Step 3: Cross multiply
    123,816.69x = 185,542.95 × 73,163.64
  4. Step 4: Simplify right side
    123,816.69x = 13,574,997,598.34
  5. Step 5: Solve for x
    x = 13,574,997,598.34/123,816.69
  6. Step 6: Final answer
    x = 109,637.87

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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.