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Finding the Fourth Proportional to 131,790.98, 181,797.26 and 83,377.88

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Solution

The fourth proportional to 131,790.98, 181,797.26 and 83,377.88 is: 115,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,790.98 : 181,797.26 = 83,377.88 : x
  2. Step 2: Convert to fraction form
    131,790.98/181,797.26 = 83,377.88/x
  3. Step 3: Cross multiply
    131,790.98x = 181,797.26 × 83,377.88
  4. Step 4: Simplify right side
    131,790.98x = 15,157,870,128.61
  5. Step 5: Solve for x
    x = 15,157,870,128.61/131,790.98
  6. Step 6: Final answer
    x = 115,014.47

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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.