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Finding the Fourth Proportional to 140,682, 194,147.64 and 77,022.48

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Solution

The fourth proportional to 140,682, 194,147.64 and 77,022.48 is: 106,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,682 : 194,147.64 = 77,022.48 : x
  2. Step 2: Convert to fraction form
    140,682/194,147.64 = 77,022.48/x
  3. Step 3: Cross multiply
    140,682x = 194,147.64 × 77,022.48
  4. Step 4: Simplify right side
    140,682x = 14,953,732,718.95
  5. Step 5: Solve for x
    x = 14,953,732,718.95/140,682
  6. Step 6: Final answer
    x = 106,294.57

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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.