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Finding the Fourth Proportional to 133,365.78, 183,904.29 and 82,977.30

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Solution

The fourth proportional to 133,365.78, 183,904.29 and 82,977.30 is: 114,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,365.78 : 183,904.29 = 82,977.30 : x
  2. Step 2: Convert to fraction form
    133,365.78/183,904.29 = 82,977.30/x
  3. Step 3: Cross multiply
    133,365.78x = 183,904.29 × 82,977.30
  4. Step 4: Simplify right side
    133,365.78x = 15,259,881,442.62
  5. Step 5: Solve for x
    x = 15,259,881,442.62/133,365.78
  6. Step 6: Final answer
    x = 114,421.27

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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.