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Finding the Fourth Proportional to 135,066.35, 186,402.78 and 74,648.78

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Solution

The fourth proportional to 135,066.35, 186,402.78 and 74,648.78 is: 103,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,066.35 : 186,402.78 = 74,648.78 : x
  2. Step 2: Convert to fraction form
    135,066.35/186,402.78 = 74,648.78/x
  3. Step 3: Cross multiply
    135,066.35x = 186,402.78 × 74,648.78
  4. Step 4: Simplify right side
    135,066.35x = 13,914,740,581.62
  5. Step 5: Solve for x
    x = 13,914,740,581.62/135,066.35
  6. Step 6: Final answer
    x = 103,021.52

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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.