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Finding the Fourth Proportional to 197,749.47, 296,621.73 and 47,991

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Solution

The fourth proportional to 197,749.47, 296,621.73 and 47,991 is: 71,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,749.47 : 296,621.73 = 47,991 : x
  2. Step 2: Convert to fraction form
    197,749.47/296,621.73 = 47,991/x
  3. Step 3: Cross multiply
    197,749.47x = 296,621.73 × 47,991
  4. Step 4: Simplify right side
    197,749.47x = 14,235,173,444.43
  5. Step 5: Solve for x
    x = 14,235,173,444.43/197,749.47
  6. Step 6: Final answer
    x = 71,985.90

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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.