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Finding the Fourth Proportional to 65,757.16, 90,717 and 40,253.92

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Solution

The fourth proportional to 65,757.16, 90,717 and 40,253.92 is: 55,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,757.16 : 90,717 = 40,253.92 : x
  2. Step 2: Convert to fraction form
    65,757.16/90,717 = 40,253.92/x
  3. Step 3: Cross multiply
    65,757.16x = 90,717 × 40,253.92
  4. Step 4: Simplify right side
    65,757.16x = 3,651,714,860.64
  5. Step 5: Solve for x
    x = 3,651,714,860.64/65,757.16
  6. Step 6: Final answer
    x = 55,533.34

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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.