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Finding the Fourth Proportional to 72,920, 100,629.60 and 39,386

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Solution

The fourth proportional to 72,920, 100,629.60 and 39,386 is: 54,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,920 : 100,629.60 = 39,386 : x
  2. Step 2: Convert to fraction form
    72,920/100,629.60 = 39,386/x
  3. Step 3: Cross multiply
    72,920x = 100,629.60 × 39,386
  4. Step 4: Simplify right side
    72,920x = 3,963,397,425.60
  5. Step 5: Solve for x
    x = 3,963,397,425.60/72,920
  6. Step 6: Final answer
    x = 54,352.68

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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.