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Finding the Fourth Proportional to 72,794.16, 100,447.80 and 40,974

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Solution

The fourth proportional to 72,794.16, 100,447.80 and 40,974 is: 56,539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,794.16 : 100,447.80 = 40,974 : x
  2. Step 2: Convert to fraction form
    72,794.16/100,447.80 = 40,974/x
  3. Step 3: Cross multiply
    72,794.16x = 100,447.80 × 40,974
  4. Step 4: Simplify right side
    72,794.16x = 4,115,748,157.20
  5. Step 5: Solve for x
    x = 4,115,748,157.20/72,794.16
  6. Step 6: Final answer
    x = 56,539.54

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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.