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Finding the Fourth Proportional to 135,502, 186,992.40 and 75,072.80

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Solution

The fourth proportional to 135,502, 186,992.40 and 75,072.80 is: 103,600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,502 : 186,992.40 = 75,072.80 : x
  2. Step 2: Convert to fraction form
    135,502/186,992.40 = 75,072.80/x
  3. Step 3: Cross multiply
    135,502x = 186,992.40 × 75,072.80
  4. Step 4: Simplify right side
    135,502x = 14,038,043,046.72
  5. Step 5: Solve for x
    x = 14,038,043,046.72/135,502
  6. Step 6: Final answer
    x = 103,600.26

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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.