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Finding the Fourth Proportional to 109,461.52, 164,193.90 and 72,259.84

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Solution

The fourth proportional to 109,461.52, 164,193.90 and 72,259.84 is: 108,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,461.52 : 164,193.90 = 72,259.84 : x
  2. Step 2: Convert to fraction form
    109,461.52/164,193.90 = 72,259.84/x
  3. Step 3: Cross multiply
    109,461.52x = 164,193.90 × 72,259.84
  4. Step 4: Simplify right side
    109,461.52x = 11,864,624,942.98
  5. Step 5: Solve for x
    x = 11,864,624,942.98/109,461.52
  6. Step 6: Final answer
    x = 108,390.83

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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.