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Finding the Fourth Proportional to 159,028, 219,227.36 and 111,132.64

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Solution

The fourth proportional to 159,028, 219,227.36 and 111,132.64 is: 153,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,028 : 219,227.36 = 111,132.64 : x
  2. Step 2: Convert to fraction form
    159,028/219,227.36 = 111,132.64/x
  3. Step 3: Cross multiply
    159,028x = 219,227.36 × 111,132.64
  4. Step 4: Simplify right side
    159,028x = 24,363,315,277.03
  5. Step 5: Solve for x
    x = 24,363,315,277.03/159,028
  6. Step 6: Final answer
    x = 153,201.42

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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.