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Finding the Fourth Proportional to 205,598.40, 308,167.20 and 87,249.60

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Solution

The fourth proportional to 205,598.40, 308,167.20 and 87,249.60 is: 130,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,598.40 : 308,167.20 = 87,249.60 : x
  2. Step 2: Convert to fraction form
    205,598.40/308,167.20 = 87,249.60/x
  3. Step 3: Cross multiply
    205,598.40x = 308,167.20 × 87,249.60
  4. Step 4: Simplify right side
    205,598.40x = 26,887,464,933.12
  5. Step 5: Solve for x
    x = 26,887,464,933.12/205,598.40
  6. Step 6: Final answer
    x = 130,776.63

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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.