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Finding the Fourth Proportional to 74,504.64, 102,814.16 and 40,513.20

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Solution

The fourth proportional to 74,504.64, 102,814.16 and 40,513.20 is: 55,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,504.64 : 102,814.16 = 40,513.20 : x
  2. Step 2: Convert to fraction form
    74,504.64/102,814.16 = 40,513.20/x
  3. Step 3: Cross multiply
    74,504.64x = 102,814.16 × 40,513.20
  4. Step 4: Simplify right side
    74,504.64x = 4,165,330,424.35
  5. Step 5: Solve for x
    x = 4,165,330,424.35/74,504.64
  6. Step 6: Final answer
    x = 55,906.99

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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.