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Finding the Fourth Proportional to 85,716.57, 128,564.62 and 22,541.62

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Solution

The fourth proportional to 85,716.57, 128,564.62 and 22,541.62 is: 33,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,716.57 : 128,564.62 = 22,541.62 : x
  2. Step 2: Convert to fraction form
    85,716.57/128,564.62 = 22,541.62/x
  3. Step 3: Cross multiply
    85,716.57x = 128,564.62 × 22,541.62
  4. Step 4: Simplify right side
    85,716.57x = 2,898,054,166.66
  5. Step 5: Solve for x
    x = 2,898,054,166.66/85,716.57
  6. Step 6: Final answer
    x = 33,809.73

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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.