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Finding the Fourth Proportional to 178,362, 246,139.56 and 102,910.50

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Solution

The fourth proportional to 178,362, 246,139.56 and 102,910.50 is: 142,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,362 : 246,139.56 = 102,910.50 : x
  2. Step 2: Convert to fraction form
    178,362/246,139.56 = 102,910.50/x
  3. Step 3: Cross multiply
    178,362x = 246,139.56 × 102,910.50
  4. Step 4: Simplify right side
    178,362x = 25,330,345,189.38
  5. Step 5: Solve for x
    x = 25,330,345,189.38/178,362
  6. Step 6: Final answer
    x = 142,016.49

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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.