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Finding the Fourth Proportional to 133,637, 184,419.42 and 74,021

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Solution

The fourth proportional to 133,637, 184,419.42 and 74,021 is: 102,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,637 : 184,419.42 = 74,021 : x
  2. Step 2: Convert to fraction form
    133,637/184,419.42 = 74,021/x
  3. Step 3: Cross multiply
    133,637x = 184,419.42 × 74,021
  4. Step 4: Simplify right side
    133,637x = 13,650,909,887.82
  5. Step 5: Solve for x
    x = 13,650,909,887.82/133,637
  6. Step 6: Final answer
    x = 102,149.18

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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.