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Finding the Fourth Proportional to 203,602.48, 305,256.10 and 136,877.20

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Solution

The fourth proportional to 203,602.48, 305,256.10 and 136,877.20 is: 205,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,602.48 : 305,256.10 = 136,877.20 : x
  2. Step 2: Convert to fraction form
    203,602.48/305,256.10 = 136,877.20/x
  3. Step 3: Cross multiply
    203,602.48x = 305,256.10 × 136,877.20
  4. Step 4: Simplify right side
    203,602.48x = 41,782,600,250.92
  5. Step 5: Solve for x
    x = 41,782,600,250.92/203,602.48
  6. Step 6: Final answer
    x = 205,216.56

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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.