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Finding the Fourth Proportional to 145,982.70, 218,974.05 and 140,150.70

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Solution

The fourth proportional to 145,982.70, 218,974.05 and 140,150.70 is: 210,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,982.70 : 218,974.05 = 140,150.70 : x
  2. Step 2: Convert to fraction form
    145,982.70/218,974.05 = 140,150.70/x
  3. Step 3: Cross multiply
    145,982.70x = 218,974.05 × 140,150.70
  4. Step 4: Simplify right side
    145,982.70x = 30,689,366,389.34
  5. Step 5: Solve for x
    x = 30,689,366,389.34/145,982.70
  6. Step 6: Final answer
    x = 210,226.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.