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Finding the Fourth Proportional to 51,722.64, 77,583.84 and 13,771.92

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Solution

The fourth proportional to 51,722.64, 77,583.84 and 13,771.92 is: 20,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,722.64 : 77,583.84 = 13,771.92 : x
  2. Step 2: Convert to fraction form
    51,722.64/77,583.84 = 13,771.92/x
  3. Step 3: Cross multiply
    51,722.64x = 77,583.84 × 13,771.92
  4. Step 4: Simplify right side
    51,722.64x = 1,068,478,437.77
  5. Step 5: Solve for x
    x = 1,068,478,437.77/51,722.64
  6. Step 6: Final answer
    x = 20,657.85

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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.