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Finding the Fourth Proportional to 89,530.31, 133,964.18 and 54,012.22

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Solution

The fourth proportional to 89,530.31, 133,964.18 and 54,012.22 is: 80,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,530.31 : 133,964.18 = 54,012.22 : x
  2. Step 2: Convert to fraction form
    89,530.31/133,964.18 = 54,012.22/x
  3. Step 3: Cross multiply
    89,530.31x = 133,964.18 × 54,012.22
  4. Step 4: Simplify right side
    89,530.31x = 7,235,702,359.85
  5. Step 5: Solve for x
    x = 7,235,702,359.85/89,530.31
  6. Step 6: Final answer
    x = 80,818.46

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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.