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Finding the Fourth Proportional to 135,858.53, 187,486.98 and 75,433.07

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Solution

The fourth proportional to 135,858.53, 187,486.98 and 75,433.07 is: 104,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,858.53 : 187,486.98 = 75,433.07 : x
  2. Step 2: Convert to fraction form
    135,858.53/187,486.98 = 75,433.07/x
  3. Step 3: Cross multiply
    135,858.53x = 187,486.98 × 75,433.07
  4. Step 4: Simplify right side
    135,858.53x = 14,142,718,486.43
  5. Step 5: Solve for x
    x = 14,142,718,486.43/135,858.53
  6. Step 6: Final answer
    x = 104,098.86

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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.