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Finding the Fourth Proportional to 210,143.10, 289,982.43 and 114,647.70

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Solution

The fourth proportional to 210,143.10, 289,982.43 and 114,647.70 is: 158,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,143.10 : 289,982.43 = 114,647.70 : x
  2. Step 2: Convert to fraction form
    210,143.10/289,982.43 = 114,647.70/x
  3. Step 3: Cross multiply
    210,143.10x = 289,982.43 × 114,647.70
  4. Step 4: Simplify right side
    210,143.10x = 33,245,818,639.91
  5. Step 5: Solve for x
    x = 33,245,818,639.91/210,143.10
  6. Step 6: Final answer
    x = 158,205.62

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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.