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Finding the Fourth Proportional to 205,887.18, 308,765.16 and 65,613

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Solution

The fourth proportional to 205,887.18, 308,765.16 and 65,613 is: 98,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,887.18 : 308,765.16 = 65,613 : x
  2. Step 2: Convert to fraction form
    205,887.18/308,765.16 = 65,613/x
  3. Step 3: Cross multiply
    205,887.18x = 308,765.16 × 65,613
  4. Step 4: Simplify right side
    205,887.18x = 20,259,008,443.08
  5. Step 5: Solve for x
    x = 20,259,008,443.08/205,887.18
  6. Step 6: Final answer
    x = 98,398.59

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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.