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Finding the Fourth Proportional to 51,464.52, 77,200.02 and 19,889.64

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Solution

The fourth proportional to 51,464.52, 77,200.02 and 19,889.64 is: 29,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,464.52 : 77,200.02 = 19,889.64 : x
  2. Step 2: Convert to fraction form
    51,464.52/77,200.02 = 19,889.64/x
  3. Step 3: Cross multiply
    51,464.52x = 77,200.02 × 19,889.64
  4. Step 4: Simplify right side
    51,464.52x = 1,535,480,605.79
  5. Step 5: Solve for x
    x = 1,535,480,605.79/51,464.52
  6. Step 6: Final answer
    x = 29,835.71

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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.