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Finding the Fourth Proportional to 132,691.84, 183,131.49 and 76,102

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Solution

The fourth proportional to 132,691.84, 183,131.49 and 76,102 is: 105,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,691.84 : 183,131.49 = 76,102 : x
  2. Step 2: Convert to fraction form
    132,691.84/183,131.49 = 76,102/x
  3. Step 3: Cross multiply
    132,691.84x = 183,131.49 × 76,102
  4. Step 4: Simplify right side
    132,691.84x = 13,936,672,651.98
  5. Step 5: Solve for x
    x = 13,936,672,651.98/132,691.84
  6. Step 6: Final answer
    x = 105,030.37

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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.