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Finding the Fourth Proportional to 72,133.40, 108,105.74 and 52,209.96

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Solution

The fourth proportional to 72,133.40, 108,105.74 and 52,209.96 is: 78,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,133.40 : 108,105.74 = 52,209.96 : x
  2. Step 2: Convert to fraction form
    72,133.40/108,105.74 = 52,209.96/x
  3. Step 3: Cross multiply
    72,133.40x = 108,105.74 × 52,209.96
  4. Step 4: Simplify right side
    72,133.40x = 5,644,196,361.17
  5. Step 5: Solve for x
    x = 5,644,196,361.17/72,133.40
  6. Step 6: Final answer
    x = 78,246.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.