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Finding the Fourth Proportional to 101,028.42, 151,509.80 and 47,712.14

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Solution

The fourth proportional to 101,028.42, 151,509.80 and 47,712.14 is: 71,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,028.42 : 151,509.80 = 47,712.14 : x
  2. Step 2: Convert to fraction form
    101,028.42/151,509.80 = 47,712.14/x
  3. Step 3: Cross multiply
    101,028.42x = 151,509.80 × 47,712.14
  4. Step 4: Simplify right side
    101,028.42x = 7,228,856,788.97
  5. Step 5: Solve for x
    x = 7,228,856,788.97/101,028.42
  6. Step 6: Final answer
    x = 71,552.71

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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.