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Finding the Fourth Proportional to 123,477.40, 185,309.79 and 81,343.09

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Solution

The fourth proportional to 123,477.40, 185,309.79 and 81,343.09 is: 122,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,477.40 : 185,309.79 = 81,343.09 : x
  2. Step 2: Convert to fraction form
    123,477.40/185,309.79 = 81,343.09/x
  3. Step 3: Cross multiply
    123,477.40x = 185,309.79 × 81,343.09
  4. Step 4: Simplify right side
    123,477.40x = 15,073,670,925.85
  5. Step 5: Solve for x
    x = 15,073,670,925.85/123,477.40
  6. Step 6: Final answer
    x = 122,076.36

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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.