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Finding the Fourth Proportional to 74,385, 102,652.11 and 40,851

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Solution

The fourth proportional to 74,385, 102,652.11 and 40,851 is: 56,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,385 : 102,652.11 = 40,851 : x
  2. Step 2: Convert to fraction form
    74,385/102,652.11 = 40,851/x
  3. Step 3: Cross multiply
    74,385x = 102,652.11 × 40,851
  4. Step 4: Simplify right side
    74,385x = 4,193,441,345.61
  5. Step 5: Solve for x
    x = 4,193,441,345.61/74,385
  6. Step 6: Final answer
    x = 56,374.82

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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.