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Finding the Fourth Proportional to 252,803.10, 379,111.62 and 102,962

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Solution

The fourth proportional to 252,803.10, 379,111.62 and 102,962 is: 154,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,803.10 : 379,111.62 = 102,962 : x
  2. Step 2: Convert to fraction form
    252,803.10/379,111.62 = 102,962/x
  3. Step 3: Cross multiply
    252,803.10x = 379,111.62 × 102,962
  4. Step 4: Simplify right side
    252,803.10x = 39,034,090,618.44
  5. Step 5: Solve for x
    x = 39,034,090,618.44/252,803.10
  6. Step 6: Final answer
    x = 154,405.11

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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.