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Finding the Fourth Proportional to 66,695.68, 100,028.64 and 19,942.48

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Solution

The fourth proportional to 66,695.68, 100,028.64 and 19,942.48 is: 29,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,695.68 : 100,028.64 = 19,942.48 : x
  2. Step 2: Convert to fraction form
    66,695.68/100,028.64 = 19,942.48/x
  3. Step 3: Cross multiply
    66,695.68x = 100,028.64 × 19,942.48
  4. Step 4: Simplify right side
    66,695.68x = 1,994,819,152.63
  5. Step 5: Solve for x
    x = 1,994,819,152.63/66,695.68
  6. Step 6: Final answer
    x = 29,909.27

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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.