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Finding the Fourth Proportional to 123,145.94, 169,827.99 and 77,745.03

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Solution

The fourth proportional to 123,145.94, 169,827.99 and 77,745.03 is: 107,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,145.94 : 169,827.99 = 77,745.03 : x
  2. Step 2: Convert to fraction form
    123,145.94/169,827.99 = 77,745.03/x
  3. Step 3: Cross multiply
    123,145.94x = 169,827.99 × 77,745.03
  4. Step 4: Simplify right side
    123,145.94x = 13,203,282,177.39
  5. Step 5: Solve for x
    x = 13,203,282,177.39/123,145.94
  6. Step 6: Final answer
    x = 107,216.55

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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.