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Finding the Fourth Proportional to 71,886, 99,198.54 and 40,053.78

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Solution

The fourth proportional to 71,886, 99,198.54 and 40,053.78 is: 55,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886 : 99,198.54 = 40,053.78 : x
  2. Step 2: Convert to fraction form
    71,886/99,198.54 = 40,053.78/x
  3. Step 3: Cross multiply
    71,886x = 99,198.54 × 40,053.78
  4. Step 4: Simplify right side
    71,886x = 3,973,276,497.48
  5. Step 5: Solve for x
    x = 3,973,276,497.48/71,886
  6. Step 6: Final answer
    x = 55,271.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.