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Finding the Fourth Proportional to 140,842, 194,361.96 and 77,182.30

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Solution

The fourth proportional to 140,842, 194,361.96 and 77,182.30 is: 106,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,842 : 194,361.96 = 77,182.30 : x
  2. Step 2: Convert to fraction form
    140,842/194,361.96 = 77,182.30/x
  3. Step 3: Cross multiply
    140,842x = 194,361.96 × 77,182.30
  4. Step 4: Simplify right side
    140,842x = 15,001,303,105.31
  5. Step 5: Solve for x
    x = 15,001,303,105.31/140,842
  6. Step 6: Final answer
    x = 106,511.57

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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.