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Finding the Fourth Proportional to 140,972, 194,523.48 and 77,293.04

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Solution

The fourth proportional to 140,972, 194,523.48 and 77,293.04 is: 106,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,972 : 194,523.48 = 77,293.04 : x
  2. Step 2: Convert to fraction form
    140,972/194,523.48 = 77,293.04/x
  3. Step 3: Cross multiply
    140,972x = 194,523.48 × 77,293.04
  4. Step 4: Simplify right side
    140,972x = 15,035,311,120.58
  5. Step 5: Solve for x
    x = 15,035,311,120.58/140,972
  6. Step 6: Final answer
    x = 106,654.59

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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.