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Finding the Fourth Proportional to 87,871.86, 131,780.53 and 31,704.67

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Solution

The fourth proportional to 87,871.86, 131,780.53 and 31,704.67 is: 47,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,871.86 : 131,780.53 = 31,704.67 : x
  2. Step 2: Convert to fraction form
    87,871.86/131,780.53 = 31,704.67/x
  3. Step 3: Cross multiply
    87,871.86x = 131,780.53 × 31,704.67
  4. Step 4: Simplify right side
    87,871.86x = 4,178,058,216.08
  5. Step 5: Solve for x
    x = 4,178,058,216.08/87,871.86
  6. Step 6: Final answer
    x = 47,547.17

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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.