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Finding the Fourth Proportional to 72,922, 100,632.40 and 39,388

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Solution

The fourth proportional to 72,922, 100,632.40 and 39,388 is: 54,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,922 : 100,632.40 = 39,388 : x
  2. Step 2: Convert to fraction form
    72,922/100,632.40 = 39,388/x
  3. Step 3: Cross multiply
    72,922x = 100,632.40 × 39,388
  4. Step 4: Simplify right side
    72,922x = 3,963,708,971.20
  5. Step 5: Solve for x
    x = 3,963,708,971.20/72,922
  6. Step 6: Final answer
    x = 54,355.46

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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.