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Finding the Fourth Proportional to 72,446, 108,679.16 and 68,462

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Solution

The fourth proportional to 72,446, 108,679.16 and 68,462 is: 102,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,446 : 108,679.16 = 68,462 : x
  2. Step 2: Convert to fraction form
    72,446/108,679.16 = 68,462/x
  3. Step 3: Cross multiply
    72,446x = 108,679.16 × 68,462
  4. Step 4: Simplify right side
    72,446x = 7,440,392,651.92
  5. Step 5: Solve for x
    x = 7,440,392,651.92/72,446
  6. Step 6: Final answer
    x = 102,702.60

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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.