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Finding the Fourth Proportional to 74,200.96, 102,397.69 and 40,209.44

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Solution

The fourth proportional to 74,200.96, 102,397.69 and 40,209.44 is: 55,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,200.96 : 102,397.69 = 40,209.44 : x
  2. Step 2: Convert to fraction form
    74,200.96/102,397.69 = 40,209.44/x
  3. Step 3: Cross multiply
    74,200.96x = 102,397.69 × 40,209.44
  4. Step 4: Simplify right side
    74,200.96x = 4,117,353,772.19
  5. Step 5: Solve for x
    x = 4,117,353,772.19/74,200.96
  6. Step 6: Final answer
    x = 55,489.23

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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.