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Finding the Fourth Proportional to 72,797.16, 100,451.94 and 40,977

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Solution

The fourth proportional to 72,797.16, 100,451.94 and 40,977 is: 56,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,797.16 : 100,451.94 = 40,977 : x
  2. Step 2: Convert to fraction form
    72,797.16/100,451.94 = 40,977/x
  3. Step 3: Cross multiply
    72,797.16x = 100,451.94 × 40,977
  4. Step 4: Simplify right side
    72,797.16x = 4,116,219,145.38
  5. Step 5: Solve for x
    x = 4,116,219,145.38/72,797.16
  6. Step 6: Final answer
    x = 56,543.68

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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.