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Finding the Fourth Proportional to 84,523.86, 126,787.23 and 31,958.10

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Solution

The fourth proportional to 84,523.86, 126,787.23 and 31,958.10 is: 47,937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,523.86 : 126,787.23 = 31,958.10 : x
  2. Step 2: Convert to fraction form
    84,523.86/126,787.23 = 31,958.10/x
  3. Step 3: Cross multiply
    84,523.86x = 126,787.23 × 31,958.10
  4. Step 4: Simplify right side
    84,523.86x = 4,051,878,975.06
  5. Step 5: Solve for x
    x = 4,051,878,975.06/84,523.86
  6. Step 6: Final answer
    x = 47,937.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.