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Finding the Fourth Proportional to 139,888.50, 193,046.22 and 76,226.28

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Solution

The fourth proportional to 139,888.50, 193,046.22 and 76,226.28 is: 105,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,888.50 : 193,046.22 = 76,226.28 : x
  2. Step 2: Convert to fraction form
    139,888.50/193,046.22 = 76,226.28/x
  3. Step 3: Cross multiply
    139,888.50x = 193,046.22 × 76,226.28
  4. Step 4: Simplify right side
    139,888.50x = 14,715,195,218.66
  5. Step 5: Solve for x
    x = 14,715,195,218.66/139,888.50
  6. Step 6: Final answer
    x = 105,192.32

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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.