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Finding the Fourth Proportional to 259,070.63, 388,619.82 and 81,591.47

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Solution

The fourth proportional to 259,070.63, 388,619.82 and 81,591.47 is: 122,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,070.63 : 388,619.82 = 81,591.47 : x
  2. Step 2: Convert to fraction form
    259,070.63/388,619.82 = 81,591.47/x
  3. Step 3: Cross multiply
    259,070.63x = 388,619.82 × 81,591.47
  4. Step 4: Simplify right side
    259,070.63x = 31,708,062,384.94
  5. Step 5: Solve for x
    x = 31,708,062,384.94/259,070.63
  6. Step 6: Final answer
    x = 122,391.57

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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.