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Finding the Fourth Proportional to 65,824.16, 90,800.43 and 40,342.88

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Solution

The fourth proportional to 65,824.16, 90,800.43 and 40,342.88 is: 55,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,824.16 : 90,800.43 = 40,342.88 : x
  2. Step 2: Convert to fraction form
    65,824.16/90,800.43 = 40,342.88/x
  3. Step 3: Cross multiply
    65,824.16x = 90,800.43 × 40,342.88
  4. Step 4: Simplify right side
    65,824.16x = 3,663,150,851.44
  5. Step 5: Solve for x
    x = 3,663,150,851.44/65,824.16
  6. Step 6: Final answer
    x = 55,650.55

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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.