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Finding the Fourth Proportional to 203,187.88, 304,840.14 and 132,980.32

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Solution

The fourth proportional to 203,187.88, 304,840.14 and 132,980.32 is: 199,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,187.88 : 304,840.14 = 132,980.32 : x
  2. Step 2: Convert to fraction form
    203,187.88/304,840.14 = 132,980.32/x
  3. Step 3: Cross multiply
    203,187.88x = 304,840.14 × 132,980.32
  4. Step 4: Simplify right side
    203,187.88x = 40,537,739,366.04
  5. Step 5: Solve for x
    x = 40,537,739,366.04/203,187.88
  6. Step 6: Final answer
    x = 199,508.65

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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.