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Finding the Fourth Proportional to 73,398, 101,289.24 and 39,864

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Solution

The fourth proportional to 73,398, 101,289.24 and 39,864 is: 55,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,398 : 101,289.24 = 39,864 : x
  2. Step 2: Convert to fraction form
    73,398/101,289.24 = 39,864/x
  3. Step 3: Cross multiply
    73,398x = 101,289.24 × 39,864
  4. Step 4: Simplify right side
    73,398x = 4,037,794,263.36
  5. Step 5: Solve for x
    x = 4,037,794,263.36/73,398
  6. Step 6: Final answer
    x = 55,012.32

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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.