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Finding the Fourth Proportional to 52,684, 72,703.92 and 30,328

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Solution

The fourth proportional to 52,684, 72,703.92 and 30,328 is: 41,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,684 : 72,703.92 = 30,328 : x
  2. Step 2: Convert to fraction form
    52,684/72,703.92 = 30,328/x
  3. Step 3: Cross multiply
    52,684x = 72,703.92 × 30,328
  4. Step 4: Simplify right side
    52,684x = 2,204,964,485.76
  5. Step 5: Solve for x
    x = 2,204,964,485.76/52,684
  6. Step 6: Final answer
    x = 41,852.64

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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.