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Finding the Fourth Proportional to 203,989, 305,878.32 and 91,572.88

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Solution

The fourth proportional to 203,989, 305,878.32 and 91,572.88 is: 137,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,989 : 305,878.32 = 91,572.88 : x
  2. Step 2: Convert to fraction form
    203,989/305,878.32 = 91,572.88/x
  3. Step 3: Cross multiply
    203,989x = 305,878.32 × 91,572.88
  4. Step 4: Simplify right side
    203,989x = 28,010,158,691.96
  5. Step 5: Solve for x
    x = 28,010,158,691.96/203,989
  6. Step 6: Final answer
    x = 137,312.10

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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.