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Finding the Fourth Proportional to 81,471.93, 112,431.12 and 45,661.95

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Solution

The fourth proportional to 81,471.93, 112,431.12 and 45,661.95 is: 63,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,471.93 : 112,431.12 = 45,661.95 : x
  2. Step 2: Convert to fraction form
    81,471.93/112,431.12 = 45,661.95/x
  3. Step 3: Cross multiply
    81,471.93x = 112,431.12 × 45,661.95
  4. Step 4: Simplify right side
    81,471.93x = 5,133,824,179.88
  5. Step 5: Solve for x
    x = 5,133,824,179.88/81,471.93
  6. Step 6: Final answer
    x = 63,013.41

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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.