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Finding the Fourth Proportional to 140,492.70, 193,879.71 and 76,830.48

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Solution

The fourth proportional to 140,492.70, 193,879.71 and 76,830.48 is: 106,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,492.70 : 193,879.71 = 76,830.48 : x
  2. Step 2: Convert to fraction form
    140,492.70/193,879.71 = 76,830.48/x
  3. Step 3: Cross multiply
    140,492.70x = 193,879.71 × 76,830.48
  4. Step 4: Simplify right side
    140,492.70x = 14,895,871,181.56
  5. Step 5: Solve for x
    x = 14,895,871,181.56/140,492.70
  6. Step 6: Final answer
    x = 106,025.94

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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.