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Finding the Fourth Proportional to 86,553, 119,443.68 and 53,019

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Solution

The fourth proportional to 86,553, 119,443.68 and 53,019 is: 73,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,553 : 119,443.68 = 53,019 : x
  2. Step 2: Convert to fraction form
    86,553/119,443.68 = 53,019/x
  3. Step 3: Cross multiply
    86,553x = 119,443.68 × 53,019
  4. Step 4: Simplify right side
    86,553x = 6,332,784,469.92
  5. Step 5: Solve for x
    x = 6,332,784,469.92/86,553
  6. Step 6: Final answer
    x = 73,166.55

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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.