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Finding the Fourth Proportional to 192,765.48, 289,167.86 and 66,389.28

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Solution

The fourth proportional to 192,765.48, 289,167.86 and 66,389.28 is: 99,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,765.48 : 289,167.86 = 66,389.28 : x
  2. Step 2: Convert to fraction form
    192,765.48/289,167.86 = 66,389.28/x
  3. Step 3: Cross multiply
    192,765.48x = 289,167.86 × 66,389.28
  4. Step 4: Simplify right side
    192,765.48x = 19,197,646,024.54
  5. Step 5: Solve for x
    x = 19,197,646,024.54/192,765.48
  6. Step 6: Final answer
    x = 99,590.68

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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.