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Finding the Fourth Proportional to 203,440.20, 304,941.60 and 77,031.60

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Solution

The fourth proportional to 203,440.20, 304,941.60 and 77,031.60 is: 115,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,440.20 : 304,941.60 = 77,031.60 : x
  2. Step 2: Convert to fraction form
    203,440.20/304,941.60 = 77,031.60/x
  3. Step 3: Cross multiply
    203,440.20x = 304,941.60 × 77,031.60
  4. Step 4: Simplify right side
    203,440.20x = 23,490,139,354.56
  5. Step 5: Solve for x
    x = 23,490,139,354.56/203,440.20
  6. Step 6: Final answer
    x = 115,464.59

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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.