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Finding the Fourth Proportional to 72,729, 100,367.24 and 47,578.50

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Solution

The fourth proportional to 72,729, 100,367.24 and 47,578.50 is: 65,659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,729 : 100,367.24 = 47,578.50 : x
  2. Step 2: Convert to fraction form
    72,729/100,367.24 = 47,578.50/x
  3. Step 3: Cross multiply
    72,729x = 100,367.24 × 47,578.50
  4. Step 4: Simplify right side
    72,729x = 4,775,322,490.45
  5. Step 5: Solve for x
    x = 4,775,322,490.45/72,729
  6. Step 6: Final answer
    x = 65,659.12

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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.