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Finding the Fourth Proportional to 72,544, 108,816 and 28,768

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Solution

The fourth proportional to 72,544, 108,816 and 28,768 is: 43,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,544 : 108,816 = 28,768 : x
  2. Step 2: Convert to fraction form
    72,544/108,816 = 28,768/x
  3. Step 3: Cross multiply
    72,544x = 108,816 × 28,768
  4. Step 4: Simplify right side
    72,544x = 3,130,418,688
  5. Step 5: Solve for x
    x = 3,130,418,688/72,544
  6. Step 6: Final answer
    x = 43,152

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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.