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Finding the Fourth Proportional to 123,205, 184,822.08 and 40,099

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Solution

The fourth proportional to 123,205, 184,822.08 and 40,099 is: 60,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,205 : 184,822.08 = 40,099 : x
  2. Step 2: Convert to fraction form
    123,205/184,822.08 = 40,099/x
  3. Step 3: Cross multiply
    123,205x = 184,822.08 × 40,099
  4. Step 4: Simplify right side
    123,205x = 7,411,180,585.92
  5. Step 5: Solve for x
    x = 7,411,180,585.92/123,205
  6. Step 6: Final answer
    x = 60,153.25

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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.