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Finding the Fourth Proportional to 133,274.13, 183,905.64 and 72,840.93

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Solution

The fourth proportional to 133,274.13, 183,905.64 and 72,840.93 is: 100,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,274.13 : 183,905.64 = 72,840.93 : x
  2. Step 2: Convert to fraction form
    133,274.13/183,905.64 = 72,840.93/x
  3. Step 3: Cross multiply
    133,274.13x = 183,905.64 × 72,840.93
  4. Step 4: Simplify right side
    133,274.13x = 13,395,857,849.85
  5. Step 5: Solve for x
    x = 13,395,857,849.85/133,274.13
  6. Step 6: Final answer
    x = 100,513.56

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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.