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Finding the Fourth Proportional to 65,231.16, 97,815.09 and 31,912.20

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Solution

The fourth proportional to 65,231.16, 97,815.09 and 31,912.20 is: 47,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,231.16 : 97,815.09 = 31,912.20 : x
  2. Step 2: Convert to fraction form
    65,231.16/97,815.09 = 31,912.20/x
  3. Step 3: Cross multiply
    65,231.16x = 97,815.09 × 31,912.20
  4. Step 4: Simplify right side
    65,231.16x = 3,121,494,715.10
  5. Step 5: Solve for x
    x = 3,121,494,715.10/65,231.16
  6. Step 6: Final answer
    x = 47,852.82

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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.