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Finding the Fourth Proportional to 200,023.20, 299,631.60 and 124,912.80

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Solution

The fourth proportional to 200,023.20, 299,631.60 and 124,912.80 is: 187,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,023.20 : 299,631.60 = 124,912.80 : x
  2. Step 2: Convert to fraction form
    200,023.20/299,631.60 = 124,912.80/x
  3. Step 3: Cross multiply
    200,023.20x = 299,631.60 × 124,912.80
  4. Step 4: Simplify right side
    200,023.20x = 37,427,822,124.48
  5. Step 5: Solve for x
    x = 37,427,822,124.48/200,023.20
  6. Step 6: Final answer
    x = 187,117.41

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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.