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Finding the Fourth Proportional to 51,161.76, 76,826.03 and 31,564.88

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Solution

The fourth proportional to 51,161.76, 76,826.03 and 31,564.88 is: 47,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,161.76 : 76,826.03 = 31,564.88 : x
  2. Step 2: Convert to fraction form
    51,161.76/76,826.03 = 31,564.88/x
  3. Step 3: Cross multiply
    51,161.76x = 76,826.03 × 31,564.88
  4. Step 4: Simplify right side
    51,161.76x = 2,425,004,417.83
  5. Step 5: Solve for x
    x = 2,425,004,417.83/51,161.76
  6. Step 6: Final answer
    x = 47,398.77

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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.