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Finding the Fourth Proportional to 203,978.91, 305,862.77 and 91,562.32

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Solution

The fourth proportional to 203,978.91, 305,862.77 and 91,562.32 is: 137,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,978.91 : 305,862.77 = 91,562.32 : x
  2. Step 2: Convert to fraction form
    203,978.91/305,862.77 = 91,562.32/x
  3. Step 3: Cross multiply
    203,978.91x = 305,862.77 × 91,562.32
  4. Step 4: Simplify right side
    203,978.91x = 28,005,506,165.54
  5. Step 5: Solve for x
    x = 28,005,506,165.54/203,978.91
  6. Step 6: Final answer
    x = 137,296.09

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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.