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Finding the Fourth Proportional to 135,157.89, 186,510.35 and 74,725

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Solution

The fourth proportional to 135,157.89, 186,510.35 and 74,725 is: 103,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,157.89 : 186,510.35 = 74,725 : x
  2. Step 2: Convert to fraction form
    135,157.89/186,510.35 = 74,725/x
  3. Step 3: Cross multiply
    135,157.89x = 186,510.35 × 74,725
  4. Step 4: Simplify right side
    135,157.89x = 13,936,985,716.94
  5. Step 5: Solve for x
    x = 13,936,985,716.94/135,157.89
  6. Step 6: Final answer
    x = 103,116.33

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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.