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Finding the Fourth Proportional to 81,409.75, 112,383.94 and 54,569.80

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Solution

The fourth proportional to 81,409.75, 112,383.94 and 54,569.80 is: 75,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.75 : 112,383.94 = 54,569.80 : x
  2. Step 2: Convert to fraction form
    81,409.75/112,383.94 = 54,569.80/x
  3. Step 3: Cross multiply
    81,409.75x = 112,383.94 × 54,569.80
  4. Step 4: Simplify right side
    81,409.75x = 6,132,768,430.67
  5. Step 5: Solve for x
    x = 6,132,768,430.67/81,409.75
  6. Step 6: Final answer
    x = 75,332.11

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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.