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Finding the Fourth Proportional to 133,090.64, 183,667.96 and 72,663.82

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Solution

The fourth proportional to 133,090.64, 183,667.96 and 72,663.82 is: 100,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,090.64 : 183,667.96 = 72,663.82 : x
  2. Step 2: Convert to fraction form
    133,090.64/183,667.96 = 72,663.82/x
  3. Step 3: Cross multiply
    133,090.64x = 183,667.96 × 72,663.82
  4. Step 4: Simplify right side
    133,090.64x = 13,346,015,585.21
  5. Step 5: Solve for x
    x = 13,346,015,585.21/133,090.64
  6. Step 6: Final answer
    x = 100,277.64

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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.