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Finding the Fourth Proportional to 205,548.40, 307,991.40 and 116,537.20

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Solution

The fourth proportional to 205,548.40, 307,991.40 and 116,537.20 is: 174,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,548.40 : 307,991.40 = 116,537.20 : x
  2. Step 2: Convert to fraction form
    205,548.40/307,991.40 = 116,537.20/x
  3. Step 3: Cross multiply
    205,548.40x = 307,991.40 × 116,537.20
  4. Step 4: Simplify right side
    205,548.40x = 35,892,455,380.08
  5. Step 5: Solve for x
    x = 35,892,455,380.08/205,548.40
  6. Step 6: Final answer
    x = 174,618.02

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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.