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Finding the Fourth Proportional to 52,873.94, 72,969.87 and 30,212.40

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Solution

The fourth proportional to 52,873.94, 72,969.87 and 30,212.40 is: 41,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,873.94 : 72,969.87 = 30,212.40 : x
  2. Step 2: Convert to fraction form
    52,873.94/72,969.87 = 30,212.40/x
  3. Step 3: Cross multiply
    52,873.94x = 72,969.87 × 30,212.40
  4. Step 4: Simplify right side
    52,873.94x = 2,204,594,900.39
  5. Step 5: Solve for x
    x = 2,204,594,900.39/52,873.94
  6. Step 6: Final answer
    x = 41,695.31

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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.