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Finding the Fourth Proportional to 135,098.34, 186,445.35 and 74,667.68

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Solution

The fourth proportional to 135,098.34, 186,445.35 and 74,667.68 is: 103,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,098.34 : 186,445.35 = 74,667.68 : x
  2. Step 2: Convert to fraction form
    135,098.34/186,445.35 = 74,667.68/x
  3. Step 3: Cross multiply
    135,098.34x = 186,445.35 × 74,667.68
  4. Step 4: Simplify right side
    135,098.34x = 13,921,441,731.29
  5. Step 5: Solve for x
    x = 13,921,441,731.29/135,098.34
  6. Step 6: Final answer
    x = 103,046.73

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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.