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Finding the Fourth Proportional to 119,122.23, 164,388.86 and 65,410.67

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Solution

The fourth proportional to 119,122.23, 164,388.86 and 65,410.67 is: 90,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,122.23 : 164,388.86 = 65,410.67 : x
  2. Step 2: Convert to fraction form
    119,122.23/164,388.86 = 65,410.67/x
  3. Step 3: Cross multiply
    119,122.23x = 164,388.86 × 65,410.67
  4. Step 4: Simplify right side
    119,122.23x = 10,752,784,324.14
  5. Step 5: Solve for x
    x = 10,752,784,324.14/119,122.23
  6. Step 6: Final answer
    x = 90,266.82

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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.