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Finding the Fourth Proportional to 74,136.92, 102,309 and 40,145.68

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Solution

The fourth proportional to 74,136.92, 102,309 and 40,145.68 is: 55,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,136.92 : 102,309 = 40,145.68 : x
  2. Step 2: Convert to fraction form
    74,136.92/102,309 = 40,145.68/x
  3. Step 3: Cross multiply
    74,136.92x = 102,309 × 40,145.68
  4. Step 4: Simplify right side
    74,136.92x = 4,107,264,119.35
  5. Step 5: Solve for x
    x = 4,107,264,119.35/74,136.92
  6. Step 6: Final answer
    x = 55,401.06

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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.