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Finding the Fourth Proportional to 140,073.36, 193,302 and 76,411.44

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Solution

The fourth proportional to 140,073.36, 193,302 and 76,411.44 is: 105,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,073.36 : 193,302 = 76,411.44 : x
  2. Step 2: Convert to fraction form
    140,073.36/193,302 = 76,411.44/x
  3. Step 3: Cross multiply
    140,073.36x = 193,302 × 76,411.44
  4. Step 4: Simplify right side
    140,073.36x = 14,770,484,174.88
  5. Step 5: Solve for x
    x = 14,770,484,174.88/140,073.36
  6. Step 6: Final answer
    x = 105,448.20

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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.