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Finding the Fourth Proportional to 128,882.34, 193,245.84 and 57,792.11

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Solution

The fourth proportional to 128,882.34, 193,245.84 and 57,792.11 is: 86,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,882.34 : 193,245.84 = 57,792.11 : x
  2. Step 2: Convert to fraction form
    128,882.34/193,245.84 = 57,792.11/x
  3. Step 3: Cross multiply
    128,882.34x = 193,245.84 × 57,792.11
  4. Step 4: Simplify right side
    128,882.34x = 11,168,083,876.09
  5. Step 5: Solve for x
    x = 11,168,083,876.09/128,882.34
  6. Step 6: Final answer
    x = 86,653.33

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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.