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Finding the Fourth Proportional to 65,822, 90,833.76 and 37,141.86

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Solution

The fourth proportional to 65,822, 90,833.76 and 37,141.86 is: 51,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,822 : 90,833.76 = 37,141.86 : x
  2. Step 2: Convert to fraction form
    65,822/90,833.76 = 37,141.86/x
  3. Step 3: Cross multiply
    65,822x = 90,833.76 × 37,141.86
  4. Step 4: Simplify right side
    65,822x = 3,373,734,797.19
  5. Step 5: Solve for x
    x = 3,373,734,797.19/65,822
  6. Step 6: Final answer
    x = 51,255.43

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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.