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Finding the Fourth Proportional to 210,419.70, 315,629.55 and 105,200.70

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Solution

The fourth proportional to 210,419.70, 315,629.55 and 105,200.70 is: 157,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,419.70 : 315,629.55 = 105,200.70 : x
  2. Step 2: Convert to fraction form
    210,419.70/315,629.55 = 105,200.70/x
  3. Step 3: Cross multiply
    210,419.70x = 315,629.55 × 105,200.70
  4. Step 4: Simplify right side
    210,419.70x = 33,204,449,600.69
  5. Step 5: Solve for x
    x = 33,204,449,600.69/210,419.70
  6. Step 6: Final answer
    x = 157,801.05

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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.