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Finding the Fourth Proportional to 100,772.91, 139,063.58 and 55,450.98

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Solution

The fourth proportional to 100,772.91, 139,063.58 and 55,450.98 is: 76,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,772.91 : 139,063.58 = 55,450.98 : x
  2. Step 2: Convert to fraction form
    100,772.91/139,063.58 = 55,450.98/x
  3. Step 3: Cross multiply
    100,772.91x = 139,063.58 × 55,450.98
  4. Step 4: Simplify right side
    100,772.91x = 7,711,212,035.91
  5. Step 5: Solve for x
    x = 7,711,212,035.91/100,772.91
  6. Step 6: Final answer
    x = 76,520.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.