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Finding the Fourth Proportional to 140,144, 193,402.82 and 76,485.88

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Solution

The fourth proportional to 140,144, 193,402.82 and 76,485.88 is: 105,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,144 : 193,402.82 = 76,485.88 : x
  2. Step 2: Convert to fraction form
    140,144/193,402.82 = 76,485.88/x
  3. Step 3: Cross multiply
    140,144x = 193,402.82 × 76,485.88
  4. Step 4: Simplify right side
    140,144x = 14,792,584,882.18
  5. Step 5: Solve for x
    x = 14,792,584,882.18/140,144
  6. Step 6: Final answer
    x = 105,552.75

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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.