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Finding the Fourth Proportional to 133,744, 184,566.72 and 74,128

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Solution

The fourth proportional to 133,744, 184,566.72 and 74,128 is: 102,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,744 : 184,566.72 = 74,128 : x
  2. Step 2: Convert to fraction form
    133,744/184,566.72 = 74,128/x
  3. Step 3: Cross multiply
    133,744x = 184,566.72 × 74,128
  4. Step 4: Simplify right side
    133,744x = 13,681,561,820.16
  5. Step 5: Solve for x
    x = 13,681,561,820.16/133,744
  6. Step 6: Final answer
    x = 102,296.64

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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.