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Finding the Fourth Proportional to 128,540.80, 192,857.42 and 57,457.52

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Solution

The fourth proportional to 128,540.80, 192,857.42 and 57,457.52 is: 86,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,540.80 : 192,857.42 = 57,457.52 : x
  2. Step 2: Convert to fraction form
    128,540.80/192,857.42 = 57,457.52/x
  3. Step 3: Cross multiply
    128,540.80x = 192,857.42 × 57,457.52
  4. Step 4: Simplify right side
    128,540.80x = 11,081,109,066.80
  5. Step 5: Solve for x
    x = 11,081,109,066.80/128,540.80
  6. Step 6: Final answer
    x = 86,206.94

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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.