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Finding the Fourth Proportional to 81,140.94, 121,727.88 and 34,393.68

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Solution

The fourth proportional to 81,140.94, 121,727.88 and 34,393.68 is: 51,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,140.94 : 121,727.88 = 34,393.68 : x
  2. Step 2: Convert to fraction form
    81,140.94/121,727.88 = 34,393.68/x
  3. Step 3: Cross multiply
    81,140.94x = 121,727.88 × 34,393.68
  4. Step 4: Simplify right side
    81,140.94x = 4,186,669,751.80
  5. Step 5: Solve for x
    x = 4,186,669,751.80/81,140.94
  6. Step 6: Final answer
    x = 51,597.50

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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.