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Finding the Fourth Proportional to 71,752.68, 107,629.02 and 19,159.38

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Solution

The fourth proportional to 71,752.68, 107,629.02 and 19,159.38 is: 28,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,752.68 : 107,629.02 = 19,159.38 : x
  2. Step 2: Convert to fraction form
    71,752.68/107,629.02 = 19,159.38/x
  3. Step 3: Cross multiply
    71,752.68x = 107,629.02 × 19,159.38
  4. Step 4: Simplify right side
    71,752.68x = 2,062,105,293.21
  5. Step 5: Solve for x
    x = 2,062,105,293.21/71,752.68
  6. Step 6: Final answer
    x = 28,739.07

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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.