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Finding the Fourth Proportional to 123,294, 184,955.64 and 40,188

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Solution

The fourth proportional to 123,294, 184,955.64 and 40,188 is: 60,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,294 : 184,955.64 = 40,188 : x
  2. Step 2: Convert to fraction form
    123,294/184,955.64 = 40,188/x
  3. Step 3: Cross multiply
    123,294x = 184,955.64 × 40,188
  4. Step 4: Simplify right side
    123,294x = 7,432,997,260.32
  5. Step 5: Solve for x
    x = 7,432,997,260.32/123,294
  6. Step 6: Final answer
    x = 60,286.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.