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Finding the Fourth Proportional to 445,416, 668,162.88 and 112,992

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Solution

The fourth proportional to 445,416, 668,162.88 and 112,992 is: 169,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,416 : 668,162.88 = 112,992 : x
  2. Step 2: Convert to fraction form
    445,416/668,162.88 = 112,992/x
  3. Step 3: Cross multiply
    445,416x = 668,162.88 × 112,992
  4. Step 4: Simplify right side
    445,416x = 75,497,060,136.96
  5. Step 5: Solve for x
    x = 75,497,060,136.96/445,416
  6. Step 6: Final answer
    x = 169,497.86

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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.