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Finding the Fourth Proportional to 128,667.87, 177,519.13 and 77,661.22

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Solution

The fourth proportional to 128,667.87, 177,519.13 and 77,661.22 is: 107,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,667.87 : 177,519.13 = 77,661.22 : x
  2. Step 2: Convert to fraction form
    128,667.87/177,519.13 = 77,661.22/x
  3. Step 3: Cross multiply
    128,667.87x = 177,519.13 × 77,661.22
  4. Step 4: Simplify right side
    128,667.87x = 13,786,353,105.40
  5. Step 5: Solve for x
    x = 13,786,353,105.40/128,667.87
  6. Step 6: Final answer
    x = 107,146.82

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1.5x scale

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.