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Finding the Fourth Proportional to 74,163, 102,345 and 40,629

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Solution

The fourth proportional to 74,163, 102,345 and 40,629 is: 56,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,163 : 102,345 = 40,629 : x
  2. Step 2: Convert to fraction form
    74,163/102,345 = 40,629/x
  3. Step 3: Cross multiply
    74,163x = 102,345 × 40,629
  4. Step 4: Simplify right side
    74,163x = 4,158,175,005
  5. Step 5: Solve for x
    x = 4,158,175,005/74,163
  6. Step 6: Final answer
    x = 56,068.05

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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.