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Finding the Fourth Proportional to 81,216, 112,108.62 and 61,131

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Solution

The fourth proportional to 81,216, 112,108.62 and 61,131 is: 84,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,216 : 112,108.62 = 61,131 : x
  2. Step 2: Convert to fraction form
    81,216/112,108.62 = 61,131/x
  3. Step 3: Cross multiply
    81,216x = 112,108.62 × 61,131
  4. Step 4: Simplify right side
    81,216x = 6,853,312,049.22
  5. Step 5: Solve for x
    x = 6,853,312,049.22/81,216
  6. Step 6: Final answer
    x = 84,383.77

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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.