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Finding the Fourth Proportional to 70,733.76, 106,100.16 and 18,143.28

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Solution

The fourth proportional to 70,733.76, 106,100.16 and 18,143.28 is: 27,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,733.76 : 106,100.16 = 18,143.28 : x
  2. Step 2: Convert to fraction form
    70,733.76/106,100.16 = 18,143.28/x
  3. Step 3: Cross multiply
    70,733.76x = 106,100.16 × 18,143.28
  4. Step 4: Simplify right side
    70,733.76x = 1,925,004,910.92
  5. Step 5: Solve for x
    x = 1,925,004,910.92/70,733.76
  6. Step 6: Final answer
    x = 27,214.80

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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.