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Finding the Fourth Proportional to 140,978.32, 194,555.70 and 77,318.44

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Solution

The fourth proportional to 140,978.32, 194,555.70 and 77,318.44 is: 106,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,978.32 : 194,555.70 = 77,318.44 : x
  2. Step 2: Convert to fraction form
    140,978.32/194,555.70 = 77,318.44/x
  3. Step 3: Cross multiply
    140,978.32x = 194,555.70 × 77,318.44
  4. Step 4: Simplify right side
    140,978.32x = 15,042,743,217.11
  5. Step 5: Solve for x
    x = 15,042,743,217.11/140,978.32
  6. Step 6: Final answer
    x = 106,702.53

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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.