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Finding the Fourth Proportional to 51,322.88, 76,977.92 and 14,389.76

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Solution

The fourth proportional to 51,322.88, 76,977.92 and 14,389.76 is: 21,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,322.88 : 76,977.92 = 14,389.76 : x
  2. Step 2: Convert to fraction form
    51,322.88/76,977.92 = 14,389.76/x
  3. Step 3: Cross multiply
    51,322.88x = 76,977.92 × 14,389.76
  4. Step 4: Simplify right side
    51,322.88x = 1,107,693,794.10
  5. Step 5: Solve for x
    x = 1,107,693,794.10/51,322.88
  6. Step 6: Final answer
    x = 21,582.85

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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.