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Finding the Fourth Proportional to 123,327, 184,990.50 and 40,221

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Solution

The fourth proportional to 123,327, 184,990.50 and 40,221 is: 60,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,327 : 184,990.50 = 40,221 : x
  2. Step 2: Convert to fraction form
    123,327/184,990.50 = 40,221/x
  3. Step 3: Cross multiply
    123,327x = 184,990.50 × 40,221
  4. Step 4: Simplify right side
    123,327x = 7,440,502,900.50
  5. Step 5: Solve for x
    x = 7,440,502,900.50/123,327
  6. Step 6: Final answer
    x = 60,331.50

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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.