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Finding the Fourth Proportional to 74,939, 103,415.88 and 41,405

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Solution

The fourth proportional to 74,939, 103,415.88 and 41,405 is: 57,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,939 : 103,415.88 = 41,405 : x
  2. Step 2: Convert to fraction form
    74,939/103,415.88 = 41,405/x
  3. Step 3: Cross multiply
    74,939x = 103,415.88 × 41,405
  4. Step 4: Simplify right side
    74,939x = 4,281,934,511.40
  5. Step 5: Solve for x
    x = 4,281,934,511.40/74,939
  6. Step 6: Final answer
    x = 57,138.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.