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Finding the Fourth Proportional to 74,200, 102,396 and 40,666

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Solution

The fourth proportional to 74,200, 102,396 and 40,666 is: 56,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,200 : 102,396 = 40,666 : x
  2. Step 2: Convert to fraction form
    74,200/102,396 = 40,666/x
  3. Step 3: Cross multiply
    74,200x = 102,396 × 40,666
  4. Step 4: Simplify right side
    74,200x = 4,164,035,736
  5. Step 5: Solve for x
    x = 4,164,035,736/74,200
  6. Step 6: Final answer
    x = 56,119.08

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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.