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Finding the Fourth Proportional to 140,674.71, 194,131.11 and 77,012.51

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Solution

The fourth proportional to 140,674.71, 194,131.11 and 77,012.51 is: 106,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,674.71 : 194,131.11 = 77,012.51 : x
  2. Step 2: Convert to fraction form
    140,674.71/194,131.11 = 77,012.51/x
  3. Step 3: Cross multiply
    140,674.71x = 194,131.11 × 77,012.51
  4. Step 4: Simplify right side
    140,674.71x = 14,950,523,537.53
  5. Step 5: Solve for x
    x = 14,950,523,537.53/140,674.71
  6. Step 6: Final answer
    x = 106,277.26

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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.