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Finding the Fourth Proportional to 138,876, 208,349.28 and 40,380

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Solution

The fourth proportional to 138,876, 208,349.28 and 40,380 is: 60,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,876 : 208,349.28 = 40,380 : x
  2. Step 2: Convert to fraction form
    138,876/208,349.28 = 40,380/x
  3. Step 3: Cross multiply
    138,876x = 208,349.28 × 40,380
  4. Step 4: Simplify right side
    138,876x = 8,413,143,926.40
  5. Step 5: Solve for x
    x = 8,413,143,926.40/138,876
  6. Step 6: Final answer
    x = 60,580.26

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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.