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Finding the Fourth Proportional to 81,141.92, 121,712.93 and 53,085.54

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Solution

The fourth proportional to 81,141.92, 121,712.93 and 53,085.54 is: 79,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,141.92 : 121,712.93 = 53,085.54 : x
  2. Step 2: Convert to fraction form
    81,141.92/121,712.93 = 53,085.54/x
  3. Step 3: Cross multiply
    81,141.92x = 121,712.93 × 53,085.54
  4. Step 4: Simplify right side
    81,141.92x = 6,461,196,348.60
  5. Step 5: Solve for x
    x = 6,461,196,348.60/81,141.92
  6. Step 6: Final answer
    x = 79,628.34

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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.