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Finding the Fourth Proportional to 91,964.91, 138,043.89 and 81,501.87

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Solution

The fourth proportional to 91,964.91, 138,043.89 and 81,501.87 is: 122,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,964.91 : 138,043.89 = 81,501.87 : x
  2. Step 2: Convert to fraction form
    91,964.91/138,043.89 = 81,501.87/x
  3. Step 3: Cross multiply
    91,964.91x = 138,043.89 × 81,501.87
  4. Step 4: Simplify right side
    91,964.91x = 11,250,835,177.07
  5. Step 5: Solve for x
    x = 11,250,835,177.07/91,964.91
  6. Step 6: Final answer
    x = 122,338.35

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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.