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Finding the Fourth Proportional to 135,002.97, 186,305.54 and 74,575.22

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Solution

The fourth proportional to 135,002.97, 186,305.54 and 74,575.22 is: 102,914.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,002.97 : 186,305.54 = 74,575.22 : x
  2. Step 2: Convert to fraction form
    135,002.97/186,305.54 = 74,575.22/x
  3. Step 3: Cross multiply
    135,002.97x = 186,305.54 × 74,575.22
  4. Step 4: Simplify right side
    135,002.97x = 13,893,775,328.32
  5. Step 5: Solve for x
    x = 13,893,775,328.32/135,002.97
  6. Step 6: Final answer
    x = 102,914.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.