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Finding the Fourth Proportional to 128,443.92, 177,255.16 and 77,456.40

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Solution

The fourth proportional to 128,443.92, 177,255.16 and 77,456.40 is: 106,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,443.92 : 177,255.16 = 77,456.40 : x
  2. Step 2: Convert to fraction form
    128,443.92/177,255.16 = 77,456.40/x
  3. Step 3: Cross multiply
    128,443.92x = 177,255.16 × 77,456.40
  4. Step 4: Simplify right side
    128,443.92x = 13,729,546,575.02
  5. Step 5: Solve for x
    x = 13,729,546,575.02/128,443.92
  6. Step 6: Final answer
    x = 106,891.37

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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.