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Finding the Fourth Proportional to 128,668.12, 177,519.48 and 77,661.48

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Solution

The fourth proportional to 128,668.12, 177,519.48 and 77,661.48 is: 107,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,668.12 : 177,519.48 = 77,661.48 : x
  2. Step 2: Convert to fraction form
    128,668.12/177,519.48 = 77,661.48/x
  3. Step 3: Cross multiply
    128,668.12x = 177,519.48 × 77,661.48
  4. Step 4: Simplify right side
    128,668.12x = 13,786,424,463.88
  5. Step 5: Solve for x
    x = 13,786,424,463.88/128,668.12
  6. Step 6: Final answer
    x = 107,147.16

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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.