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Finding the Fourth Proportional to 140,138.98, 193,395.87 and 76,480.87

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Solution

The fourth proportional to 140,138.98, 193,395.87 and 76,480.87 is: 105,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,138.98 : 193,395.87 = 76,480.87 : x
  2. Step 2: Convert to fraction form
    140,138.98/193,395.87 = 76,480.87/x
  3. Step 3: Cross multiply
    140,138.98x = 193,395.87 × 76,480.87
  4. Step 4: Simplify right side
    140,138.98x = 14,791,084,392.01
  5. Step 5: Solve for x
    x = 14,791,084,392.01/140,138.98
  6. Step 6: Final answer
    x = 105,545.83

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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.