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Finding the Fourth Proportional to 65,781.17, 90,707.92 and 53,020.94

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Solution

The fourth proportional to 65,781.17, 90,707.92 and 53,020.94 is: 73,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,781.17 : 90,707.92 = 53,020.94 : x
  2. Step 2: Convert to fraction form
    65,781.17/90,707.92 = 53,020.94/x
  3. Step 3: Cross multiply
    65,781.17x = 90,707.92 × 53,020.94
  4. Step 4: Simplify right side
    65,781.17x = 4,809,419,183.84
  5. Step 5: Solve for x
    x = 4,809,419,183.84/65,781.17
  6. Step 6: Final answer
    x = 73,112.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.