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Finding the Fourth Proportional to 89,772.28, 134,509.62 and 54,605.56

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Solution

The fourth proportional to 89,772.28, 134,509.62 and 54,605.56 is: 81,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,772.28 : 134,509.62 = 54,605.56 : x
  2. Step 2: Convert to fraction form
    89,772.28/134,509.62 = 54,605.56/x
  3. Step 3: Cross multiply
    89,772.28x = 134,509.62 × 54,605.56
  4. Step 4: Simplify right side
    89,772.28x = 7,344,973,125.49
  5. Step 5: Solve for x
    x = 7,344,973,125.49/89,772.28
  6. Step 6: Final answer
    x = 81,817.83

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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.