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Finding the Fourth Proportional to 74,052, 102,193.92 and 40,520.16

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Solution

The fourth proportional to 74,052, 102,193.92 and 40,520.16 is: 55,919.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,052 : 102,193.92 = 40,520.16 : x
  2. Step 2: Convert to fraction form
    74,052/102,193.92 = 40,520.16/x
  3. Step 3: Cross multiply
    74,052x = 102,193.92 × 40,520.16
  4. Step 4: Simplify right side
    74,052x = 4,140,913,989.43
  5. Step 5: Solve for x
    x = 4,140,913,989.43/74,052
  6. Step 6: Final answer
    x = 55,919.00

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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.