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Finding the Fourth Proportional to 74,185, 102,375.34 and 40,651

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Solution

The fourth proportional to 74,185, 102,375.34 and 40,651 is: 56,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,185 : 102,375.34 = 40,651 : x
  2. Step 2: Convert to fraction form
    74,185/102,375.34 = 40,651/x
  3. Step 3: Cross multiply
    74,185x = 102,375.34 × 40,651
  4. Step 4: Simplify right side
    74,185x = 4,161,659,946.34
  5. Step 5: Solve for x
    x = 4,161,659,946.34/74,185
  6. Step 6: Final answer
    x = 56,098.40

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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.