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Finding the Fourth Proportional to 81,811.20, 112,963.20 and 65,971.20

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Solution

The fourth proportional to 81,811.20, 112,963.20 and 65,971.20 is: 91,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,811.20 : 112,963.20 = 65,971.20 : x
  2. Step 2: Convert to fraction form
    81,811.20/112,963.20 = 65,971.20/x
  3. Step 3: Cross multiply
    81,811.20x = 112,963.20 × 65,971.20
  4. Step 4: Simplify right side
    81,811.20x = 7,452,317,859.84
  5. Step 5: Solve for x
    x = 7,452,317,859.84/81,811.20
  6. Step 6: Final answer
    x = 91,091.66

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1.5x scale

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.