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Finding the Fourth Proportional to 73,674.72, 101,670.48 and 40,140

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Solution

The fourth proportional to 73,674.72, 101,670.48 and 40,140 is: 55,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,674.72 : 101,670.48 = 40,140 : x
  2. Step 2: Convert to fraction form
    73,674.72/101,670.48 = 40,140/x
  3. Step 3: Cross multiply
    73,674.72x = 101,670.48 × 40,140
  4. Step 4: Simplify right side
    73,674.72x = 4,081,053,067.20
  5. Step 5: Solve for x
    x = 4,081,053,067.20/73,674.72
  6. Step 6: Final answer
    x = 55,392.85

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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.