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Finding the Fourth Proportional to 123,889.97, 185,847.21 and 39,628.98

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Solution

The fourth proportional to 123,889.97, 185,847.21 and 39,628.98 is: 59,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,889.97 : 185,847.21 = 39,628.98 : x
  2. Step 2: Convert to fraction form
    123,889.97/185,847.21 = 39,628.98/x
  3. Step 3: Cross multiply
    123,889.97x = 185,847.21 × 39,628.98
  4. Step 4: Simplify right side
    123,889.97x = 7,364,935,368.15
  5. Step 5: Solve for x
    x = 7,364,935,368.15/123,889.97
  6. Step 6: Final answer
    x = 59,447.39

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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.