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Finding the Fourth Proportional to 97,989.68, 146,912.16 and 31,391.28

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Solution

The fourth proportional to 97,989.68, 146,912.16 and 31,391.28 is: 47,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,989.68 : 146,912.16 = 31,391.28 : x
  2. Step 2: Convert to fraction form
    97,989.68/146,912.16 = 31,391.28/x
  3. Step 3: Cross multiply
    97,989.68x = 146,912.16 × 31,391.28
  4. Step 4: Simplify right side
    97,989.68x = 4,611,760,749.96
  5. Step 5: Solve for x
    x = 4,611,760,749.96/97,989.68
  6. Step 6: Final answer
    x = 47,063.74

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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.