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Finding the Fourth Proportional to 230,512, 345,768 and 74,864

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Solution

The fourth proportional to 230,512, 345,768 and 74,864 is: 112,296

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,512 : 345,768 = 74,864 : x
  2. Step 2: Convert to fraction form
    230,512/345,768 = 74,864/x
  3. Step 3: Cross multiply
    230,512x = 345,768 × 74,864
  4. Step 4: Simplify right side
    230,512x = 25,885,575,552
  5. Step 5: Solve for x
    x = 25,885,575,552/230,512
  6. Step 6: Final answer
    x = 112,296

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.