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Finding the Fourth Proportional to 75,057, 112,557.27 and 30,660.03

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Solution

The fourth proportional to 75,057, 112,557.27 and 30,660.03 is: 45,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,057 : 112,557.27 = 30,660.03 : x
  2. Step 2: Convert to fraction form
    75,057/112,557.27 = 30,660.03/x
  3. Step 3: Cross multiply
    75,057x = 112,557.27 × 30,660.03
  4. Step 4: Simplify right side
    75,057x = 3,451,009,274.92
  5. Step 5: Solve for x
    x = 3,451,009,274.92/75,057
  6. Step 6: Final answer
    x = 45,978.51

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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.