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Finding the Fourth Proportional to 89,043.76, 133,361.52 and 57,784.24

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Solution

The fourth proportional to 89,043.76, 133,361.52 and 57,784.24 is: 86,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,043.76 : 133,361.52 = 57,784.24 : x
  2. Step 2: Convert to fraction form
    89,043.76/133,361.52 = 57,784.24/x
  3. Step 3: Cross multiply
    89,043.76x = 133,361.52 × 57,784.24
  4. Step 4: Simplify right side
    89,043.76x = 7,706,194,078.44
  5. Step 5: Solve for x
    x = 7,706,194,078.44/89,043.76
  6. Step 6: Final answer
    x = 86,543.90

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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.