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Finding the Fourth Proportional to 72,496.39, 108,772.30 and 40,942.08

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Solution

The fourth proportional to 72,496.39, 108,772.30 and 40,942.08 is: 61,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,496.39 : 108,772.30 = 40,942.08 : x
  2. Step 2: Convert to fraction form
    72,496.39/108,772.30 = 40,942.08/x
  3. Step 3: Cross multiply
    72,496.39x = 108,772.30 × 40,942.08
  4. Step 4: Simplify right side
    72,496.39x = 4,453,364,106.03
  5. Step 5: Solve for x
    x = 4,453,364,106.03/72,496.39
  6. Step 6: Final answer
    x = 61,428.77

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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.