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Finding the Fourth Proportional to 247,731.76, 341,898.96 and 147,129.76

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Solution

The fourth proportional to 247,731.76, 341,898.96 and 147,129.76 is: 203,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,731.76 : 341,898.96 = 147,129.76 : x
  2. Step 2: Convert to fraction form
    247,731.76/341,898.96 = 147,129.76/x
  3. Step 3: Cross multiply
    247,731.76x = 341,898.96 × 147,129.76
  4. Step 4: Simplify right side
    247,731.76x = 50,303,511,929.05
  5. Step 5: Solve for x
    x = 50,303,511,929.05/247,731.76
  6. Step 6: Final answer
    x = 203,056.37

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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.