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Finding the Fourth Proportional to 135,243.98, 186,573.81 and 87,512.74

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Solution

The fourth proportional to 135,243.98, 186,573.81 and 87,512.74 is: 120,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,243.98 : 186,573.81 = 87,512.74 : x
  2. Step 2: Convert to fraction form
    135,243.98/186,573.81 = 87,512.74/x
  3. Step 3: Cross multiply
    135,243.98x = 186,573.81 × 87,512.74
  4. Step 4: Simplify right side
    135,243.98x = 16,327,585,325.34
  5. Step 5: Solve for x
    x = 16,327,585,325.34/135,243.98
  6. Step 6: Final answer
    x = 120,726.89

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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.