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Finding the Fourth Proportional to 73,146, 100,941.60 and 39,612

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Solution

The fourth proportional to 73,146, 100,941.60 and 39,612 is: 54,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,146 : 100,941.60 = 39,612 : x
  2. Step 2: Convert to fraction form
    73,146/100,941.60 = 39,612/x
  3. Step 3: Cross multiply
    73,146x = 100,941.60 × 39,612
  4. Step 4: Simplify right side
    73,146x = 3,998,498,659.20
  5. Step 5: Solve for x
    x = 3,998,498,659.20/73,146
  6. Step 6: Final answer
    x = 54,664.62

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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.