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Finding the Fourth Proportional to 85,112.97, 127,782.54 and 72,712.68

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Solution

The fourth proportional to 85,112.97, 127,782.54 and 72,712.68 is: 109,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,112.97 : 127,782.54 = 72,712.68 : x
  2. Step 2: Convert to fraction form
    85,112.97/127,782.54 = 72,712.68/x
  3. Step 3: Cross multiply
    85,112.97x = 127,782.54 × 72,712.68
  4. Step 4: Simplify right side
    85,112.97x = 9,291,410,940.61
  5. Step 5: Solve for x
    x = 9,291,410,940.61/85,112.97
  6. Step 6: Final answer
    x = 109,165.63

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1.5x scale

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.