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Finding the Fourth Proportional to 65,238.56, 97,891.32 and 31,958

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Solution

The fourth proportional to 65,238.56, 97,891.32 and 31,958 is: 47,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,238.56 : 97,891.32 = 31,958 : x
  2. Step 2: Convert to fraction form
    65,238.56/97,891.32 = 31,958/x
  3. Step 3: Cross multiply
    65,238.56x = 97,891.32 × 31,958
  4. Step 4: Simplify right side
    65,238.56x = 3,128,410,804.56
  5. Step 5: Solve for x
    x = 3,128,410,804.56/65,238.56
  6. Step 6: Final answer
    x = 47,953.40

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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.