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Finding the Fourth Proportional to 72,697.26, 100,322.64 and 40,865.88

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Solution

The fourth proportional to 72,697.26, 100,322.64 and 40,865.88 is: 56,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,697.26 : 100,322.64 = 40,865.88 : x
  2. Step 2: Convert to fraction form
    72,697.26/100,322.64 = 40,865.88/x
  3. Step 3: Cross multiply
    72,697.26x = 100,322.64 × 40,865.88
  4. Step 4: Simplify right side
    72,697.26x = 4,099,772,967.52
  5. Step 5: Solve for x
    x = 4,099,772,967.52/72,697.26
  6. Step 6: Final answer
    x = 56,395.15

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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.