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Finding the Fourth Proportional to 234,541, 351,811.50 and 103,213

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Solution

The fourth proportional to 234,541, 351,811.50 and 103,213 is: 154,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,541 : 351,811.50 = 103,213 : x
  2. Step 2: Convert to fraction form
    234,541/351,811.50 = 103,213/x
  3. Step 3: Cross multiply
    234,541x = 351,811.50 × 103,213
  4. Step 4: Simplify right side
    234,541x = 36,311,520,349.50
  5. Step 5: Solve for x
    x = 36,311,520,349.50/234,541
  6. Step 6: Final answer
    x = 154,819.50

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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.