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Finding the Fourth Proportional to 74,200, 102,396 and 40,665.28

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Solution

The fourth proportional to 74,200, 102,396 and 40,665.28 is: 56,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,200 : 102,396 = 40,665.28 : x
  2. Step 2: Convert to fraction form
    74,200/102,396 = 40,665.28/x
  3. Step 3: Cross multiply
    74,200x = 102,396 × 40,665.28
  4. Step 4: Simplify right side
    74,200x = 4,163,962,010.88
  5. Step 5: Solve for x
    x = 4,163,962,010.88/74,200
  6. Step 6: Final answer
    x = 56,118.09

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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.