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Finding the Fourth Proportional to 74,349, 102,603.24 and 40,815

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Solution

The fourth proportional to 74,349, 102,603.24 and 40,815 is: 56,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,349 : 102,603.24 = 40,815 : x
  2. Step 2: Convert to fraction form
    74,349/102,603.24 = 40,815/x
  3. Step 3: Cross multiply
    74,349x = 102,603.24 × 40,815
  4. Step 4: Simplify right side
    74,349x = 4,187,751,240.60
  5. Step 5: Solve for x
    x = 4,187,751,240.60/74,349
  6. Step 6: Final answer
    x = 56,325.59

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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.