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Finding the Fourth Proportional to 210,140.10, 289,978.29 and 114,644.70

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Solution

The fourth proportional to 210,140.10, 289,978.29 and 114,644.70 is: 158,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,140.10 : 289,978.29 = 114,644.70 : x
  2. Step 2: Convert to fraction form
    210,140.10/289,978.29 = 114,644.70/x
  3. Step 3: Cross multiply
    210,140.10x = 289,978.29 × 114,644.70
  4. Step 4: Simplify right side
    210,140.10x = 33,244,474,063.56
  5. Step 5: Solve for x
    x = 33,244,474,063.56/210,140.10
  6. Step 6: Final answer
    x = 158,201.48

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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.