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Finding the Fourth Proportional to 102,776.76, 154,252.62 and 40,491

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Solution

The fourth proportional to 102,776.76, 154,252.62 and 40,491 is: 60,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,776.76 : 154,252.62 = 40,491 : x
  2. Step 2: Convert to fraction form
    102,776.76/154,252.62 = 40,491/x
  3. Step 3: Cross multiply
    102,776.76x = 154,252.62 × 40,491
  4. Step 4: Simplify right side
    102,776.76x = 6,245,842,836.42
  5. Step 5: Solve for x
    x = 6,245,842,836.42/102,776.76
  6. Step 6: Final answer
    x = 60,770.96

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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.