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Finding the Fourth Proportional to 123,383.22, 185,133.65 and 67,222.08

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Solution

The fourth proportional to 123,383.22, 185,133.65 and 67,222.08 is: 100,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,383.22 : 185,133.65 = 67,222.08 : x
  2. Step 2: Convert to fraction form
    123,383.22/185,133.65 = 67,222.08/x
  3. Step 3: Cross multiply
    123,383.22x = 185,133.65 × 67,222.08
  4. Step 4: Simplify right side
    123,383.22x = 12,445,069,030.99
  5. Step 5: Solve for x
    x = 12,445,069,030.99/123,383.22
  6. Step 6: Final answer
    x = 100,865.17

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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.