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Finding the Fourth Proportional to 74,271.21, 102,391.74 and 71,944.89

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Solution

The fourth proportional to 74,271.21, 102,391.74 and 71,944.89 is: 99,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,271.21 : 102,391.74 = 71,944.89 : x
  2. Step 2: Convert to fraction form
    74,271.21/102,391.74 = 71,944.89/x
  3. Step 3: Cross multiply
    74,271.21x = 102,391.74 × 71,944.89
  4. Step 4: Simplify right side
    74,271.21x = 7,366,562,471.21
  5. Step 5: Solve for x
    x = 7,366,562,471.21/74,271.21
  6. Step 6: Final answer
    x = 99,184.63

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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.