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Finding the Fourth Proportional to 135,398, 186,823.32 and 87,644.72

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Solution

The fourth proportional to 135,398, 186,823.32 and 87,644.72 is: 120,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,398 : 186,823.32 = 87,644.72 : x
  2. Step 2: Convert to fraction form
    135,398/186,823.32 = 87,644.72/x
  3. Step 3: Cross multiply
    135,398x = 186,823.32 × 87,644.72
  4. Step 4: Simplify right side
    135,398x = 16,374,077,570.87
  5. Step 5: Solve for x
    x = 16,374,077,570.87/135,398
  6. Step 6: Final answer
    x = 120,932.94

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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.