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Finding the Fourth Proportional to 203,731.04, 305,612.90 and 77,431.80

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Solution

The fourth proportional to 203,731.04, 305,612.90 and 77,431.80 is: 116,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,731.04 : 305,612.90 = 77,431.80 : x
  2. Step 2: Convert to fraction form
    203,731.04/305,612.90 = 77,431.80/x
  3. Step 3: Cross multiply
    203,731.04x = 305,612.90 × 77,431.80
  4. Step 4: Simplify right side
    203,731.04x = 23,664,156,950.22
  5. Step 5: Solve for x
    x = 23,664,156,950.22/203,731.04
  6. Step 6: Final answer
    x = 116,153.91

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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.