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Finding the Fourth Proportional to 74,282.74, 102,504.09 and 40,748.74

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Solution

The fourth proportional to 74,282.74, 102,504.09 and 40,748.74 is: 56,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,282.74 : 102,504.09 = 40,748.74 : x
  2. Step 2: Convert to fraction form
    74,282.74/102,504.09 = 40,748.74/x
  3. Step 3: Cross multiply
    74,282.74x = 102,504.09 × 40,748.74
  4. Step 4: Simplify right side
    74,282.74x = 4,176,912,512.35
  5. Step 5: Solve for x
    x = 4,176,912,512.35/74,282.74
  6. Step 6: Final answer
    x = 56,229.92

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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.