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Finding the Fourth Proportional to 71,855.88, 107,769.24 and 19,253.06

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Solution

The fourth proportional to 71,855.88, 107,769.24 and 19,253.06 is: 28,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,855.88 : 107,769.24 = 19,253.06 : x
  2. Step 2: Convert to fraction form
    71,855.88/107,769.24 = 19,253.06/x
  3. Step 3: Cross multiply
    71,855.88x = 107,769.24 × 19,253.06
  4. Step 4: Simplify right side
    71,855.88x = 2,074,887,643.87
  5. Step 5: Solve for x
    x = 2,074,887,643.87/71,855.88
  6. Step 6: Final answer
    x = 28,875.68

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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.