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Finding the Fourth Proportional to 133,189.56, 183,807.20 and 76,601

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Solution

The fourth proportional to 133,189.56, 183,807.20 and 76,601 is: 105,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,189.56 : 183,807.20 = 76,601 : x
  2. Step 2: Convert to fraction form
    133,189.56/183,807.20 = 76,601/x
  3. Step 3: Cross multiply
    133,189.56x = 183,807.20 × 76,601
  4. Step 4: Simplify right side
    133,189.56x = 14,079,815,327.20
  5. Step 5: Solve for x
    x = 14,079,815,327.20/133,189.56
  6. Step 6: Final answer
    x = 105,712.60

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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.