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Finding the Fourth Proportional to 53,077.71, 79,614.50 and 19,797.71

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Solution

The fourth proportional to 53,077.71, 79,614.50 and 19,797.71 is: 29,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,077.71 : 79,614.50 = 19,797.71 : x
  2. Step 2: Convert to fraction form
    53,077.71/79,614.50 = 19,797.71/x
  3. Step 3: Cross multiply
    53,077.71x = 79,614.50 × 19,797.71
  4. Step 4: Simplify right side
    53,077.71x = 1,576,184,782.80
  5. Step 5: Solve for x
    x = 1,576,184,782.80/53,077.71
  6. Step 6: Final answer
    x = 29,695.79

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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.