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Finding the Fourth Proportional to 81,410.81, 121,957.25 and 56,105.80

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Solution

The fourth proportional to 81,410.81, 121,957.25 and 56,105.80 is: 84,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,410.81 : 121,957.25 = 56,105.80 : x
  2. Step 2: Convert to fraction form
    81,410.81/121,957.25 = 56,105.80/x
  3. Step 3: Cross multiply
    81,410.81x = 121,957.25 × 56,105.80
  4. Step 4: Simplify right side
    81,410.81x = 6,842,508,491.63
  5. Step 5: Solve for x
    x = 6,842,508,491.63/81,410.81
  6. Step 6: Final answer
    x = 84,049.14

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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.