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Finding the Fourth Proportional to 51,921.85, 77,900.87 and 16,388.66

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Solution

The fourth proportional to 51,921.85, 77,900.87 and 16,388.66 is: 24,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,921.85 : 77,900.87 = 16,388.66 : x
  2. Step 2: Convert to fraction form
    51,921.85/77,900.87 = 16,388.66/x
  3. Step 3: Cross multiply
    51,921.85x = 77,900.87 × 16,388.66
  4. Step 4: Simplify right side
    51,921.85x = 1,276,690,872.13
  5. Step 5: Solve for x
    x = 1,276,690,872.13/51,921.85
  6. Step 6: Final answer
    x = 24,588.70

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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.