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Finding the Fourth Proportional to 85,027.51, 127,538.43 and 45,661.51

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Solution

The fourth proportional to 85,027.51, 127,538.43 and 45,661.51 is: 68,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,027.51 : 127,538.43 = 45,661.51 : x
  2. Step 2: Convert to fraction form
    85,027.51/127,538.43 = 45,661.51/x
  3. Step 3: Cross multiply
    85,027.51x = 127,538.43 × 45,661.51
  4. Step 4: Simplify right side
    85,027.51x = 5,823,597,296.83
  5. Step 5: Solve for x
    x = 5,823,597,296.83/85,027.51
  6. Step 6: Final answer
    x = 68,490.74

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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.