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Finding the Fourth Proportional to 74,099.63, 102,257.49 and 40,565.63

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Solution

The fourth proportional to 74,099.63, 102,257.49 and 40,565.63 is: 55,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,099.63 : 102,257.49 = 40,565.63 : x
  2. Step 2: Convert to fraction form
    74,099.63/102,257.49 = 40,565.63/x
  3. Step 3: Cross multiply
    74,099.63x = 102,257.49 × 40,565.63
  4. Step 4: Simplify right side
    74,099.63x = 4,148,138,891.37
  5. Step 5: Solve for x
    x = 4,148,138,891.37/74,099.63
  6. Step 6: Final answer
    x = 55,980.57

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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.