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Finding the Fourth Proportional to 132,710.82, 183,142.11 and 72,281.73

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Solution

The fourth proportional to 132,710.82, 183,142.11 and 72,281.73 is: 99,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,710.82 : 183,142.11 = 72,281.73 : x
  2. Step 2: Convert to fraction form
    132,710.82/183,142.11 = 72,281.73/x
  3. Step 3: Cross multiply
    132,710.82x = 183,142.11 × 72,281.73
  4. Step 4: Simplify right side
    132,710.82x = 13,237,828,546.65
  5. Step 5: Solve for x
    x = 13,237,828,546.65/132,710.82
  6. Step 6: Final answer
    x = 99,749.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.