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Finding the Fourth Proportional to 140,656.89, 194,089.32 and 112,049.40

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Solution

The fourth proportional to 140,656.89, 194,089.32 and 112,049.40 is: 154,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,656.89 : 194,089.32 = 112,049.40 : x
  2. Step 2: Convert to fraction form
    140,656.89/194,089.32 = 112,049.40/x
  3. Step 3: Cross multiply
    140,656.89x = 194,089.32 × 112,049.40
  4. Step 4: Simplify right side
    140,656.89x = 21,747,591,852.41
  5. Step 5: Solve for x
    x = 21,747,591,852.41/140,656.89
  6. Step 6: Final answer
    x = 154,614.48

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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.