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Finding the Fourth Proportional to 128,805.86, 177,761.22 and 71,463.98

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Solution

The fourth proportional to 128,805.86, 177,761.22 and 71,463.98 is: 98,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,805.86 : 177,761.22 = 71,463.98 : x
  2. Step 2: Convert to fraction form
    128,805.86/177,761.22 = 71,463.98/x
  3. Step 3: Cross multiply
    128,805.86x = 177,761.22 × 71,463.98
  4. Step 4: Simplify right side
    128,805.86x = 12,703,524,270.86
  5. Step 5: Solve for x
    x = 12,703,524,270.86/128,805.86
  6. Step 6: Final answer
    x = 98,625.36

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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.