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Finding the Fourth Proportional to 137,726.88, 206,068.96 and 81,597.12

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Solution

The fourth proportional to 137,726.88, 206,068.96 and 81,597.12 is: 122,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,726.88 : 206,068.96 = 81,597.12 : x
  2. Step 2: Convert to fraction form
    137,726.88/206,068.96 = 81,597.12/x
  3. Step 3: Cross multiply
    137,726.88x = 206,068.96 × 81,597.12
  4. Step 4: Simplify right side
    137,726.88x = 16,814,633,657.40
  5. Step 5: Solve for x
    x = 16,814,633,657.40/137,726.88
  6. Step 6: Final answer
    x = 122,086.80

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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.