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Finding the Fourth Proportional to 81,856.81, 112,992.26 and 51,661.83

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Solution

The fourth proportional to 81,856.81, 112,992.26 and 51,661.83 is: 71,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,856.81 : 112,992.26 = 51,661.83 : x
  2. Step 2: Convert to fraction form
    81,856.81/112,992.26 = 51,661.83/x
  3. Step 3: Cross multiply
    81,856.81x = 112,992.26 × 51,661.83
  4. Step 4: Simplify right side
    81,856.81x = 5,837,386,927.44
  5. Step 5: Solve for x
    x = 5,837,386,927.44/81,856.81
  6. Step 6: Final answer
    x = 71,312.17

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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.