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Finding the Fourth Proportional to 62,028, 93,042 and 20,478.24

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Solution

The fourth proportional to 62,028, 93,042 and 20,478.24 is: 30,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,028 : 93,042 = 20,478.24 : x
  2. Step 2: Convert to fraction form
    62,028/93,042 = 20,478.24/x
  3. Step 3: Cross multiply
    62,028x = 93,042 × 20,478.24
  4. Step 4: Simplify right side
    62,028x = 1,905,336,406.08
  5. Step 5: Solve for x
    x = 1,905,336,406.08/62,028
  6. Step 6: Final answer
    x = 30,717.36

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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.