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Finding the Fourth Proportional to 72,443, 108,674.64 and 68,459

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Solution

The fourth proportional to 72,443, 108,674.64 and 68,459 is: 102,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,443 : 108,674.64 = 68,459 : x
  2. Step 2: Convert to fraction form
    72,443/108,674.64 = 68,459/x
  3. Step 3: Cross multiply
    72,443x = 108,674.64 × 68,459
  4. Step 4: Simplify right side
    72,443x = 7,439,757,179.76
  5. Step 5: Solve for x
    x = 7,439,757,179.76/72,443
  6. Step 6: Final answer
    x = 102,698.08

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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.