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Finding the Fourth Proportional to 74,568.70, 102,902.73 and 40,576.40

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Solution

The fourth proportional to 74,568.70, 102,902.73 and 40,576.40 is: 55,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,568.70 : 102,902.73 = 40,576.40 : x
  2. Step 2: Convert to fraction form
    74,568.70/102,902.73 = 40,576.40/x
  3. Step 3: Cross multiply
    74,568.70x = 102,902.73 × 40,576.40
  4. Step 4: Simplify right side
    74,568.70x = 4,175,421,819.06
  5. Step 5: Solve for x
    x = 4,175,421,819.06/74,568.70
  6. Step 6: Final answer
    x = 55,994.30

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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.