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Finding the Fourth Proportional to 164,600.32, 246,912.08 and 81,472

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Solution

The fourth proportional to 164,600.32, 246,912.08 and 81,472 is: 122,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,600.32 : 246,912.08 = 81,472 : x
  2. Step 2: Convert to fraction form
    164,600.32/246,912.08 = 81,472/x
  3. Step 3: Cross multiply
    164,600.32x = 246,912.08 × 81,472
  4. Step 4: Simplify right side
    164,600.32x = 20,116,420,981.76
  5. Step 5: Solve for x
    x = 20,116,420,981.76/164,600.32
  6. Step 6: Final answer
    x = 122,213.74

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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.