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Finding the Fourth Proportional to 159,222.92, 219,728 and 87,607.56

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Solution

The fourth proportional to 159,222.92, 219,728 and 87,607.56 is: 120,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,222.92 : 219,728 = 87,607.56 : x
  2. Step 2: Convert to fraction form
    159,222.92/219,728 = 87,607.56/x
  3. Step 3: Cross multiply
    159,222.92x = 219,728 × 87,607.56
  4. Step 4: Simplify right side
    159,222.92x = 19,249,833,943.68
  5. Step 5: Solve for x
    x = 19,249,833,943.68/159,222.92
  6. Step 6: Final answer
    x = 120,898.64

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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.