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Finding the Fourth Proportional to 74,290, 102,520.76 and 40,756

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Solution

The fourth proportional to 74,290, 102,520.76 and 40,756 is: 56,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,290 : 102,520.76 = 40,756 : x
  2. Step 2: Convert to fraction form
    74,290/102,520.76 = 40,756/x
  3. Step 3: Cross multiply
    74,290x = 102,520.76 × 40,756
  4. Step 4: Simplify right side
    74,290x = 4,178,336,094.56
  5. Step 5: Solve for x
    x = 4,178,336,094.56/74,290
  6. Step 6: Final answer
    x = 56,243.59

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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.